Details
| Original language | English |
|---|---|
| Article number | 030602 |
| Journal | Physical Review Letters |
| Volume | 100 |
| Issue number | 3 |
| Publication status | Published - 24 Jan 2008 |
| Externally published | Yes |
Abstract
A reasonable physical intuition in the study of interacting quantum systems says that, independent of the initial state, the system will tend to equilibrate. In this work we introduce an experimentally accessible setting where relaxation to a steady state is exact, namely, for the Bose-Hubbard model quenched from a Mott quantum phase to the free strong superfluid regime. We rigorously prove that the evolving state locally relaxes to a steady state with maximum entropy constrained by second moments-thus maximizing the entanglement. Remarkably, for this to be true, no time average is necessary. Our argument includes a central limit theorem and exploits the finite speed of information transfer. We also show that for all periodic initial configurations (charge density waves) the system relaxes locally, and identify experimentally accessible signatures in optical lattices as well as implications for the foundations of statistical mechanics.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Physical Review Letters, Vol. 100, No. 3, 030602, 24.01.2008.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Exact relaxation in a class of nonequilibrium quantum lattice systems
AU - Cramer, Marcus
AU - Dawson, C. M.
AU - Eisert, J.
AU - Osborne, Tobias J.
N1 - Copyright: Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2008/1/24
Y1 - 2008/1/24
N2 - A reasonable physical intuition in the study of interacting quantum systems says that, independent of the initial state, the system will tend to equilibrate. In this work we introduce an experimentally accessible setting where relaxation to a steady state is exact, namely, for the Bose-Hubbard model quenched from a Mott quantum phase to the free strong superfluid regime. We rigorously prove that the evolving state locally relaxes to a steady state with maximum entropy constrained by second moments-thus maximizing the entanglement. Remarkably, for this to be true, no time average is necessary. Our argument includes a central limit theorem and exploits the finite speed of information transfer. We also show that for all periodic initial configurations (charge density waves) the system relaxes locally, and identify experimentally accessible signatures in optical lattices as well as implications for the foundations of statistical mechanics.
AB - A reasonable physical intuition in the study of interacting quantum systems says that, independent of the initial state, the system will tend to equilibrate. In this work we introduce an experimentally accessible setting where relaxation to a steady state is exact, namely, for the Bose-Hubbard model quenched from a Mott quantum phase to the free strong superfluid regime. We rigorously prove that the evolving state locally relaxes to a steady state with maximum entropy constrained by second moments-thus maximizing the entanglement. Remarkably, for this to be true, no time average is necessary. Our argument includes a central limit theorem and exploits the finite speed of information transfer. We also show that for all periodic initial configurations (charge density waves) the system relaxes locally, and identify experimentally accessible signatures in optical lattices as well as implications for the foundations of statistical mechanics.
UR - http://www.scopus.com/inward/record.url?scp=38549171333&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.100.030602
DO - 10.1103/PhysRevLett.100.030602
M3 - Article
AN - SCOPUS:38549171333
VL - 100
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 3
M1 - 030602
ER -