2012年度
Schedule of winter semester (start from 13:00 @ #933)
Oct. 4
Cord Mueller (Centre for Quantum Technologies, Singapore)
Oct. 11
Shunsuke Furukawa
Oct. 18 (no seminar)
Oct. 25
Zhifang Xu
Nov. 1
Naoyuki Sakumichi
Nov. 8
Shohei Watabe
Nov. 15
Shingo Kobayashi
Nov. 22
Shinpei Endo
Nov. 29
Nguyen Thanh Phuc
Dec. 6
Tatsuhiko Ikeda
Dec. 13
Yui Kuramochi
Dec. 20
Ken Funo
Jan. 10 (no seminar)
Jan. 17
Yusuke Horinouchi
Jan. 24
Yasuhiro Hatsugai (Univ. of Tsukuba)
Feb. 14
Sho Sugiura (Dept. of Basic Science, Univ. of Tokyo)
Abstract
2012/10/4(Thu) @#933 13:00
speaker 
Cord Mueller
(Centre for Quantum Technologies, Singapore)

title 
Bogoliubov theory of disordered BoseEinstein condensates

abstract 
When interacting bosons are condensed in optical potentials of various forms, it can be quite a challenge to tell the condensate from its excitations, both quantum and thermal. In this talk, I will describe a Bogoliubov theory of inhomogeneous condensates that is capable of describing the excitations of bosonic superfluids in arbitrary external potentials.
Joint work with Christopher Gaul (Madrid).
Recent reference: arXiv:1202.3489

2012/10/11(Thu) @#933 14:00
speaker 
Shunsuke Furukawa

title 
Quantum Hall states in rapidly rotating twocomponent Bose gases

abstract 
Under rapid rotation, ultracold gases of bosonic atoms have been predicted to enter a highly correlated regime,
which is analogaous to quantum Hall systems.
In this talk, I will present our recent study on the quantum Hall states in rapidly rotating twocomponent (or pseudospin1/2) Bose gases.
These systems offer an ideal setting in which to study the roles of "(pseudo)spins" in quantum Hall physics.
Our main results include (a) the numerical evidence for a nonAbelian spinsinglet state,
whose quasiparticles feature nonAbelian statistics,
and (b) a phase transtion between different quantum Hall states
that occurs as the ratio of the intercomponent to intracomponent interactions changes.
Reference: S.F. and M. Ueda, Phys. Rev. A 86, 031604(R) (2012)

2012/10/25(Thu) @#933 13:00
speaker 
Zhifang Xu

title 
Spinor BoseEinstein condensates with spinorbit couplings

abstract 
Recently, the groundbreaking experiments in Spielman's group on emulating spinorbit couplings in a pseudo spin1/2 atomic Bose gases have stimulated tremendous efforts on spinorbit coupled quantum gases. Based on meanfield approximations, planewave, stripe, triangularlattice, and squarelattice phases are found as ground states. In this talk, I will present our recent study on how to systematically classify different phases based on their symmetries. We can then not only understand different lattice phases already found but also find two different kagome lattice phase and a nematic vortex lattice phase, both of which emerge spontaneously without lattice potentials.
Reference: Z. F. Xu, Y. Kawaguchi, L. You, and M. Ueda, Phys. Rev. A 86, 033628 (2012).

2012/11/1(Thu) @#933 13:00
speaker 
Naoyuki Sakumichi

title 
BECBCS crossover theory based on LeeYang cluster expansion

abstract 
We propose a new systematic approach to the BCSBEC crossover at
finite temperature based on the cluster (virial) expansion formulation
of Lee and Yang [1], which enables us to systematically expand the
thermodynamic function in terms of cluster functions.
It is found that the proposed theory leads the thermodynamic function
of a standard BCSBEC crossover theory of Noziéres and SchmittRink
(NSR) [2] by firstorder approximation.
Our approach is basically different from standard
perturbativeexpansion techniques in terms of interaction parameter,
as the theory of NSR.
Concretely, although the second virial coefficient (which is dominant
in the hightemperature limit) of NSR is equivalent to that of ideal
Fermi gas, that of the proposed theory is exact for any value of an
swave scattering length.
[1] T. D. Lee and C. N. Yang, Phys. Rev. 113, 1165 (1958); 117, 22 (1960).
[2] P. Noziéres and S. SchmittRink, J. Low Temp. Phys., 59, 195 (1985).

2012/11/8(Thu) @#933 13:00
speaker 
Shohei Watabe

title 
recent development of Monte Carlo methods

abstract 
The Green's function formalism is one of useful tools for studying manybody systems. This is a perturbation theory, and if one finds minimum diagrams describing the system he is considering qualitatively or quantitatively well, it helps him understand what mechanism might be there.
On the other hand, another interesting tool is known for studying condensed matters; that is the Monte Carlo method. This method gives unbiased results for some systems. In this seminar, I will review recent development of Monte Carlo methods, and talk about what I am going to do.

2012/11/15(Thu) @#933 13:00
speaker 
Shingo Kobayashi

title 
Topological influence and backaction in multiple topological excitation systems

abstract 
Topological excitations exist in various subfields of physics, such as condensed matter physics, elementary particle physics, and cosmology. They have been observed experimentally in gaseous Bose?Einstein condensates. We can classify them using the homotopy group. However, there is a case that the homotopy group is not consistent with a charge of a topological excitation when it coexists with a vortex, which effect is called the topological influence. In this case, physically consistent charges are given by the Abe homotopy group [1,2]. In this talk, I will discuss the relationship between the topological influence and the total charge conservation. To be consistent with the charge conservation, I introduce a backaction on a vortex in terms of the topological influence on a topological excitation.
[1] M. Abe, Jpn. J. Math. 16, (1940) 179.
[2] S. Kobayashi, et al., Nucl. Phys. B 856, (2012) 577.

2012/11/22(Thu) @#933 13:00
speaker 
Shimpei Endo

title 
Polarons in a mass imbalanced two component Fermi gas

abstract 
Recently, mass imbalanced atomic mixtures such as KLi, YbLi, CsLi, have been realized experimentally. In these systems, nontrivial threebody or fourbody bound states can appear and their interplay with manybody physics is of great interests. Furthermore, the heavy mass particle can be used as a probe in a Fermi environment.
In this seminar, I discuss the polaron physics in this mass imbalanced Fermi gas. I discuss the dynamics of a single heavy particle immersed in a Fermionic environment. I then talk about multiheavy particles immersed in a Fermionic environment, and their effective interactions.

2012/11/29(Thu) @#933 13:00
speaker 
Nguyen Thanh Phuc

title 
Fluctuationinduced firstorder quantum phase transition in spinor BoseEinstein condensates

abstract 
Quantum fluctuations are ubiquitous in a wide range of physical phenomena. In ultracold atoms it has also been proven to play an important role in the breaking of symmetry. In spin2 spinor BoseEinstein condensates, the energy spectrum contradicts with the order of phase transition at the meanfield level.
In this seminar, by taking quantum fluctuations into account, we show that the energy spectrum reconciles with the firstorder quantum phase transition. The energy gap of quasiNambuGoldstone modes and Beliaev damping are also discussed.

2012/12/6(Thu) @#933 13:00
speaker 
Tatsuhiko Ikeda

title 
Universal quantum correction to diagonal entropy after control

abstract 
The diagonal entropy has recently been proposed to describe the thermodynamic entropy in isolated quantum systems under control [1]. Unlike von Neumann's entropy, it varies every time we control the system. Although the second law of thermodynamics is expected to hold, it is proven under the condition that the density matrix before control is diagonal in the eigenenergy basis. To examine the second law in more general situations, without assuming the above condition, we have evaluated the diagonal entropy after control and found that it involves a universal quantum correction which is subextensive [2]. As a consequence, we conclude that the second law is retained in large systems but may breaks down in small systems.
References:
[1] A. Polkovnikov, Annals of Physics 326, 486 (2011).
[2] T. N. Ikeda, A. Polkovnikov, and M. Ueda, in preparation.

2012/12/13(Thu) @#933 13:00
speaker 
Yui Kuramochi

title 
Theory of simultaneous continuous measurement process of photon counting and homodyne detection

abstract 
The quantum continuous measurement is the quantum measurement in which weak quantum measurements are done continuously in time.
Among the studies on the quantum continuous measurement,
there are two types of measurement process: jump type and diffusive type continuous measurements.
In this seminar, we found the general theory which can include both jump type and diffusive type measurement outcomes.
This theory is applied to a typical measurement process of simultaneous measurement of photon counting and homodyne detection.
The stochastic Schrödinger equation discribing the measurement process is analytically solved.
Using this solution, a probablity density and a generating functional of the measurement outputs are obtained.
These formulae are applied to typical initial conditions: coherent, number, thermal and squeezed states.
Finally Monte Carlo Simulations of the photon number expectation value for several paths are presented.

2012/12/20(Thu) @#933 13:00
speaker 
Ken Funo

title 
Thermodynamic energy gain from entanglement

abstract 
When we consider an observer that can measure the microscopic degrees of freedom and feedback control the system, we can extract work from the system above the limit of the conventional second law of thermodynamics. Generalized second law by controlling thermal fluctuation has been shown. Also, information to free energy conversion has been experimently demonstrated. In this seminar, we discuss the effect of entanglement when considering the feedback control. We show that work can be extracted from the entangled system beyond the classical correlation.

2013/1/17(Thu) @#933 13:00
speaker 
Yusuke Horinouchi

title 
Introduction to the Functional Renormalization Group

abstract 
The Functional Renormalization Group (FRG) is a powerfull methodology in field theory, which is applicable even in the strong coupling regime.
The basic idea of the FRG is to introduce an infrared cutoff to the free propagator of the theory and to study the flow of the effective action by changing this cutoff.
Because the resulting equation is exact, it has many advantages over other perturbative or nonperturbative approaches. It is a systematic nonperturbative approach which is independent of the details of the system.
I will review the basic formulation of the FRG, and present its demonstration in a harmonic oscillator perturbed by a quartic interaction.

2013/1/24(Thu) @#933 13:00
speaker 
Yasuhiro Hatsugai (Institute of Physics, University of Tsukuba)

title 
Symmetry and order parameters for topological phases

abstract 
Beyond the great success of the GinzburgLandau theory associated with symmetry breaking (SB), condensed matter physicists focus on more than that recently. That is, phases without any fundamental SB but possessing characteristic feature are of the central interest, which are the quantum/spin liquids. This class of matter includes quite wide varieties such as quantum (spin) Hall states, gapped quantum spins, anisotropic superfluids/superconductors and graphene. Some of cold atoms and photonic systems belong to the class as well.
Even though the SB is absent, too much generic states are boring. Then still the symmetry plays an important role to constrain the physical states. Gauge symmetries, timereversal and charge conjugation are important examples. When the quantum/spin liquid is stable against for some perturbation due to geometrical constraints, one may consider the state topological.
As for the topological phases with some symmetry protection, we can define "topological order parameter" using topological objects, such as gap nodes, quantized Berry phases and Chern numbers. Some of edge states, which are induced by geometric perturbation such as boundaries and impurities, are again topologically stable and used for the topological order parameters. This is the bulkedge correspondence. As for the gapped cases, these topological order parameters are adiabatic invariants and useful for identification of the quantum phase transition.
We will describe generic idea of the topological phases and show validity of our topological characterization for various quantum phases.

2013/2/14(Thu) @#201a 13:00
speaker 
Sho Sugiura (Dept. of Basic Science, Univ. of Tokyo)

title 
Thermal Pure Quantum State Corresponds To Various Ensembles

abstract 
A thermal equilibrium state of a quantum manybody system is conventionally
represented by the density operator of the statisticalmechanical ensembles.
It can also be represented by a typical pure state, which we call a thermal
pure quantum (TPQ) state. This state is not obtained by purification of
a mixed
state, hence any extra systems such as reservoirs are unnecessary. A single
realization of the TPQ state suffices for calculating all
statisticalmechanical
properties, including correlation functions and genuine thermodynamic
variables,
of a quantum system at finite temperature.
In this talk, we firstly introduce the TPQ state corresponding to
microcanonical
ensenble. Then, we extend it to the TPQ state corresponding to canonical
ensenble. The TPQ states corresponding to other ensembles can also be
constructed in a similar manner. Next, We show that all these TPQ states
are
equivalent, i.e., they give identical thermodynamic results. We also
show that
they are transformed to each other by simple analytic transformations. This
formulation is not only interesting as fundamental physics but also
advantageous
in practical applications because one needs only to construct a single
pure state by
just multiplying the hamiltonian matrix to a random vector.

Schedule of summer semester (start from 13:00 @ #933)
2012/4/12(Thu) @933 13:30
speaker 
Shohei Watabe (Univ. of Tokyo)

title 
Manybody effect on an interacting Bose gas

abstract 
In this seminar, I will talk about our recent challenges to fix problems
in meanfield theories for bosons. A wellknown meanfield theory for a
BoseEinstein condensate is the ShonoPopov approximation, including all
possible firstorder diagrams of a Bosecondensed system. However, this
theory has problems: (1) The critical temperature is equal to an ideal
Bose gas. (2) Correlation functions have infrared divergence. (3) It
involves the firstorder phase transition. These problems are shared with
the NozieresSchmittRink theory (applicable to superfluid Fermi gases) in
the BEC limit as well. I will discuss how to fix two of the three problems
in Green's function language and also discuss one problem still remains.
This work is collaborated with Prof. Yoji Ohashi.

Apr. 19(Thu) Shingo Kobayashi (in Japanese)
"Chern Numbers, Quaternions, and Berry's Phases in Fermi Systems"
J. E. Avron, L. Sadun, J. Segert and B. Simon, J. Math. Phys. 124, (1989) 595627
Apr. 26(Thu) Shinpei Endo (in English)
"Resonantly paired fermionic superfluids"
V. Gurarie and L. Radzihovsky, Ann. Phys. 322 (2007) 2119
May. 24(Thu) Nguyen Thanh Phuc (in English)
"Dynamics of Trapped Bose Gases at Finite Temperatures"
Zaremba Nikuni Griffin, Journal of Low Temperature Physics 116 277 (1999)
May. 31(Thu) Tatsuhiko Ikeda (in Japanese)
"Rigorous results on valencebond ground states in antiferromagnets"
Affleck Kennedy Lieb Tasaki PRL 59 799802 (1987)
"Valence bond ground states in isotropic quantum antiferromagnets"
Affleck Kennedy Lieb Tasaki CMP 3 477528 (1988)
Jun. 7(Thu) Yui Kuramochi (in Japanese)
"An Operational Approach to Quantum Probability"
E. B. Davies and J. T. Lewis, Commun. math. Phys. 17 239260 (1970)
Jun. 14(Thu) Ken Funo (in English)
"Information causality as a physical principle"
M. Pawlowski, T. Paterek, D. Kaszlikowski, V. Scarani, A. Winter, and M. Zukowski, Nature 461, 1101 (2009)
Jun. 21(Thu) Tomohiro Shitara (in Japanese)
"Can QuantumMechanical Description of Physical Reality Be Considered Complete?"
A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47, 777780 (1935)
"Can QuantumMechanical Description of Physical Reality be Considered Complete?"
N. Bohr, Phys. Rev. 48, 696702 (1935)
2012/6/25(Mon) @233 10:00
speaker 
Hitoshi Murayama (IPMU & Berkeley)

title 
Unified description of NambuGoldstone bosons without Lorentz invariance

abstract 
Using the effective Lagrangian approach, we clarify general issues
about NambuGoldstone bosons without Lorentz invariance. We show
how to count their number and study their dispersion relations.
Their number is less than the number of broken generators when some
of them form canonically conjugate pairs. The pairing occurs when
the generators have a nonzero expectation value of their commutator.
For nonsemisimple algebras, central extensions are possible.
Underlying geometry of the coset space in general is partially symplectic.

Jun. 28(Thu) Hiroyuki Shimizu (in Japanese)
"The topological theory of defects in ordered media"
N. D. Mermin, Rev. Mod. Phys. 51, 591648 (1979)
2012/7/3(Tue) @431 13:00
speaker 
Motohiko Ezawa (University of Tokyo)

title 
From graphene to silicene: A topological insulator made of silicon

abstract 
Silicene is a monolayer of silicon atoms forming a twodimensional honeycomb lattice, which shares almost every remarkable property with graphene.
The low energy dynamics is described by Dirac electrons,
but they are massive due to relatively large spinorbit interactions.
I will explain the following properties of silicene:
1) The band structure is controllable by applying an electric field.
2) Silicene undergoes a phase transition from a topological insulator to a band insulator by applying external electric field.
3) The topological phase transition can be detected experimentally by way of diamagnetism.
4) There is a novel valleyspin selection rules revealed by way of photon absorption.
5) Silicene yields a remarkably many phases when the exchange field is additionally introduced.
6) A silicon nanotubes can be used to convey spin currents under an electric field.

Jul. 5(Thu) Shun Tanaka (in Japanese)
"On the Einstein Podolsky Rosen paradox"
J. S. Bell, Physics 1 (3): 195200 (1964)
"The Problem of Hidden Variables in Quantum Mechanics"
Kochen, S. and Specker, Journal of Mathematics and Mechanics (1967)
2012/7/9(Mon) @201a 13:00
speaker 
Takahiro Sagawa (Kyoto University)

title 
How to Reconcile Maxwell's Demon with the Second Law?

abstract 
As is known from the nineteenth century, Maxwell's demon can adiabatically decrease the entropy of thermodynamic systems by feedback control. What reconciles the demon with the second law? In this talk, I will answer this question on the basis of my recent work with Prof. Ueda (arXiv:1206.2479): the positive entropy production during measurement compensates for the negative entropy production during feedback control. This talk is organized as follows. First, I will introduce the basic concepts in information theory and nonequilibrium thermodynamics. Second, I will briefly review the history of Maxwell's demon, and clarify what was understood and what was misunderstood. Third, I will talk about our recent results on the generalizations of the fluctuation theorem for information exchanges, which clarifies the informationentropy balance in a broad class of information processing including the conventional Maxwell's demon.

2012/7/12(Thu) @933 13:00
speaker 
Shin Inouye (The University of Tokyo)

title 
Ultracold molecules

abstract 
Recently, there has been a significant advance in experimental methods in producing ultracold molecules.
I will review the progress with more emphasis on so called "indirect
methods" where ultracold atoms are
combined to produce ultracold molecules. Further, I will also talk
about our recent progress on
rf and STIRAP spectroscopy of ultracold molecules, which can pave the way to
precision measurements and lasercooling of molecules.

2012/7/19(Thu) @933 17:00
speaker 
Nicolas Tarantino

title 
Topological charge conservation and charge transfer in multiple defect systems

abstract 
Topological defects exist in systems ranging from BoseEinstein condensates to relativistic quantum field theories, and their topological nature makes many of their properties universal across these systems. Papers published in the 1990's by Preskill and Lo demonstrate that charge (Nucl. Phys. B 386 3 (1992) and Phys. Rev. D 4810 4821 (1993)), both Noetherian and topological, is conserved when defects are wound around each other in gauge theories. However, their analysis at no point makes use of the gauge symmetry, and thus the analysis is transferable to condensed matter systems. This talk will introduce briefly introduce the topic of defects in gauge theory, as well as Preskill and Lo's analysis. It will then go on to explore the consequences of the analysis, as well as its connection with the work done on Abe homotopy performed by Shingo Kobayashi.

2012/8/27(Mon) @933 13:00
speaker 
Doerte Blume (Washington State Univ.)

title 
TwoComponent Fermi Gases with Unequal Masses:Three, Four and ManyBody Physics

abstract 
Weaklybound fewbody systems have been studied extensively
by the atomic, nuclear and condensed matter communities since the
early days of quantum mechanics. This talk summarizes
our recent theoretical studies of fewfermion systems
consisting of three and four particles. In particular, we discuss the
energetics and structural properties of extremely weaklybound
three and fourfermion systems consisting of a majority of heavy
fermions and a single light impurity. For positive interspecies swave
scattering length and sufficiently large mass ratio, a weaklybound
universal fourbody bound state is predicted to exist. We also
discuss the behavior of twocomponent Fermi gases with infinitely large
interspecies swave scattering length. Employing the virial
equation of state, thermodynamic properties of unequalmass
Fermi gases at unitarity are discussed in the hightemperature limit.

2012/8/27(Mon) @933 15:00
speaker 
Jose D'Incao (JIRA, University of Colorado and NIST)

title 
Efimov physics for atoms and dipolar species

abstract 
Strides made by the field of theoretical atomic physics have resulted in a tremendous deepening
of our understanding of ultracold gases in the quantum mechanical realm. Increasingly, these gains
are being translated into prospects for controlling atomic behavior, whether for development of
the next generation of atomic clocks, or for creating novel phases of atomic gases, or for the
manipulation of chemical reaction dynamics. In this talk, I will show that a more fundamental
phenomena, known today as Efimov physics, controls the interactions between a few atoms and molecules.
Predicted about 40 years ago, the Efimov effect is one of the most counterintuitive quantum phenomena
that manifest in a "simple" fewparticle system. I will discuss our recent findings on Efimov physics
in atomic systems as well as its extention to strongly dipolar systems. Even though a longrange anisotropic
dipolar interaction has all the ingredients to "destroy" the Efimov effect, our work shows that not
only does the effective attractive interaction that characterizes the Efimov effect persist,
but also that the dipolar interaction is extremely beneficial for the study of the Efimov effect.
