Interface between quantum information and statistical physics / editors, Mikio Nakahara, Shu Tanaka.

Format:

Book

Conference/Event

Contributor:

Nakahara, Mikio.

Tanaka, Shu.

Conference Name:

Symposium on Interface between Quantum Information and Statistical Physics (2011 : Kinki University, Japan)

Symposium on Interface between Quantum Information and Statistical Physics (2011 : Osaka, Japan)

Series:

Kinki University series on quantum computing ; v. 7.

Kinki University Series on Quantum Computing ; vol. 7

Language:

English

Subjects (All):

Quantum computers--Congresses.

Quantum computers.

Quantum theory--Congresses.

Quantum theory.

Information theory--Congresses.

Information theory.

Physical Description:

1 online resource (278 p.)

Edition:

1st ed.

Place of Publication:

Singapore : World Scientific, c2013.

Language Note:

English

Summary:

This book is a collection of contributions to the Symposium on Interface between Quantum Information and Statistical Physics held at Kinki University in November 2011. Subjects of the symposium include quantum adiabatic computing, quantum simulator using bosons, classical statistical physics, among others. Contributions to this book are prepared in a self-contained manner so that a reader with a modest background may understand the subjects.

Contents:

Symposium; Preface; List of Participants; Organizing Committee; CONTENTS; Bosons in an Optical Lattice with a Synthetic Magnetic Field K. Kasamatsu; 1. Introduction; 2. Formulation; 2.1. Bose-Hubbard model; 2.2. Frustrated XY model; 2.3. Hamiltonian for hard-core bosons in an effective magnetic field; 2.3.1. CP1 variable and path-integral representation; 3. Ground state; 4. Phase structures at finite T; 4.1. Density fluctuation; 4.2. The finite temperature phase transition; 4.2.1. f=0; 4.2.2. f=1/2; 4.2.3. f=2/5; 5. Summary; Acknowledgments

Appendix A. Reduction to the Josephson junction regimeAppendix A.1. Determination of Jij; Appendix A.2. Estimation of the parameters; Appendix B. Relation between the CP1 model and the other models; Appendix C. Symmetry of the gauged CP1 model; References; Quantum Simulation Using Exciton-Polaritons and their Applications Toward Accelerated Optimization Problem Search T. Byrnes, K. Yan, K. Kusudo, M. Fraser and Y. Yamamoto; 1. Introduction; 2. Quantum Simulation of the Hubbard Model; 3. Exciton-Polaritons; 4. Quantum Simulation with Exciton-Polaritons

4.1. Excited state condensation in one dimensional periodic lattice potentials4.2. Mott transition of EPs and indirect excitons in a periodic potential; 5. Accelerated Optimization Problem Search Using BECs; 5.1. The bosonic Ising model; 5.2. Performance of the bosonic Ising model; 6. Summary and Conclusions; Acknowledgments; References; Quantum Simulation Using Ultracold Atoms in Optical Lattices S. Sugawa, S. Taie, R. Yamazaki and Y. Takahashi; 1. Introduction; 1.1. Quantum simulation of Hubbard model; 1.2. Why quantum simulation?; 1.3. Extending the system; 2. An approach using ytterbum

3. Production of quantum degenerate Yb atoms4. Superfluid-Mott insulator transition; 5. Strongly-correlated phases in Bose-Fermi mixtures; 5.1. Hamiltonian of the system; 5.2. Repulsively interacting Bose-Fermi system; 5.3. Attractively interacting Bose-Fermi system; 5.4. Thermodynamics; 6. Prospect; Acknowledgement; References; Universality of Integrable Model: Baxter's T-Q Equation, SU(N)/SU(2)N-3 Correspondence and -Deformed Seiberg- Witten Prepotential T.-S. Tai; 1. Introduction and summary; 2. XXX spin chain; 2.1. Baxter's T-Q equation; 2.2. More detail; 3. XXX Gaudin model

3.1. RHS of Fig. 33.2. LHS of Fig. 3; 3.2.1. Free-field representation; 4. Application and discussion; 4.1. Discussion; 4.2. XYZ Gaudin model; Acknowledgments; Appendix A; Definition of wn; References; Exact Analysis of Correlation Functions of the XXZ Chain T. Deguchi, K. Motegi and J. Sato; 1. Introduction; 2. Spin-1/2 XXZ chain; 3. Algebraic Bethe ansatz; 4. Steps to calculate correlation functions; 5. Integrable higher spin XXZ chain; 6. Conclusion; Acknowledgments; Appendix A: Evaluation of (42); References; Classical Analogue of Weak Value in Stochastic Process H. Tomita

1. Introduction

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

1-283-73945-3

981-4425-28-1

OCLC:

818848240