Breakdown of Thermalization in Finite One-Dimensional Systems - INSPIRE

DataBETA

Breakdown of Thermalization in Finite One-Dimensional Systems

Marcos Rigol
(
- George Washington U.
)

Sep 4, 2009

4 pages

Published in:

Phys.Rev.Lett. 103 (2009) 100403

e-Print:

0904.3746 [cond-mat.stat-mech]

DOI:

10.1103/PhysRevLett.103.100403

View in:

ADS Abstract Service

reference search249 citations

Citations per year

Abstract: (APS)

We use quantum quenches to study the dynamics and thermalization of hard core bosons in finite one-dimensional lattices. We perform exact diagonalizations and find that, far away from integrability, few-body observables thermalize. We then study the breakdown of thermalization as one approaches an integrable point. This is found to be a smooth process in which the predictions of standard statistical mechanics continuously worsen as the system moves toward integrability. We establish a direct connection between the presence or absence of thermalization and the validity or failure of the eigenstate thermalization hypothesis, respectively.

Note:

9 pages, 13 figures, as published

05.30.Jp
02.30.Ik
03.75.Hh
03.75.Kk

References(22)

Figures(0)

- Chaos Solitons Fractals 15 015101

- J PART C

A quantum Newton's cradle

- Nature 440 (2006) 7086, 900-903
•
DOI:
- 10.1038/nature04693

Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of 1D Lattice Hard-Core Bosons

- Phys.Rev.Lett. 98 (2007) 5, 050405
•
DOI:
- 10.1103/PhysRevLett.98.050405

- Phys.Rev. 74 053616

- Phys.Rev. 43 2046

- Phys.Rev. 50 888

Thermalization and its mechanism for generic isolated quantum systems

- Nature 452 (2008) 7189, 854-858
•
e-Print:
- 0708.1324
•
DOI:
- 10.1038/nature06838

Effect of Suddenly Turning on Interactions in the Luttinger Model

M.A. Cazalilla

- Phys.Rev.Lett. 97 (2006) 15, 156403
•
e-Print:
- cond-mat/0606236
•
DOI:
- 10.1103/PhysRevLett.97.156403

Exact Relaxation in a Class of Nonequilibrium Quantum Lattice Systems

M. Cramer
(
- Imperial Coll., London and
- Potsdam U.
)
,
C.M. Dawson
(
- Imperial Coll., London
)
,
J. Eisert
(
- Imperial Coll., London and
- Potsdam U.
)
,
T.J. Osborne
(
- Royal Holloway, U. of London
)

- Phys.Rev.Lett. 100 (2008) 030602
•
e-Print:
- cond-mat/0703314
•
DOI:
- 10.1103/PhysRevLett.100.030602

- Phys.Rev.Lett. 100 100601

- Phys.Rev.Lett. 100 120404

- Phys.Rev. 78 013626

- Phys.Rev.Lett. 101 063001

Effective Thermal Dynamics Following a Quantum Quench in a Spin Chain

Davide Rossini
(
- SISSA, Trieste
)
,
Alessandro Silva
(
- ICTP, Trieste
)
,
Giuseppe Mussardo
(
- SISSA, Trieste and
- INFN, Trieste and
- ICTP, Trieste
)
,
Giuseppe Santoro
(
- SISSA, Trieste and
- ICTP, Trieste
)

- Phys.Rev.Lett. 102 (2009) 127204-127208
•
e-Print:
- 0810.5508
•
DOI:
- 10.1103/PhysRevLett.102.127204

e-Print:
- 0903.1205

Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model

- Phys.Rev.Lett. 98 (2007) 180601
•
e-Print:
- cond-mat/0607235
•
DOI:
- 10.1103/PhysRevLett.98.180601

- Phys.Rev.Lett. 98 210405

Interaction Quench in the Hubbard Model

- Phys.Rev.Lett. 100 (2008) 17, 175702
•
DOI:
- 10.1103/PhysRevLett.100.175702

e-Print:
- 0903.1561

- Phys.Rev.Lett. 103 056403

Tonks–Girardeau gas of ultracold atoms in an optical lattice

et al.

- Nature 429 (2004) 6989, 277-281
•
DOI:
- 10.1038/nature02530