Abstract
After a quench, observables in an integrable system may not relax to the standard thermal values, but can relax to the ones predicted by the generalized Gibbs ensemble (GGE). The GGE has been shown to accurately describe observables in various one-dimensional integrable systems, but the origin of its success is not fully understood. Here we introduce a microcanonical version of the GGE and provide a justification of the GGE based on a generalized interpretation of the eigenstate thermalization hypothesis, which was previously introduced to explain thermalization of nonintegrable systems. We study relaxation after a quench of one-dimensional hard-core bosons in an optical lattice. Exact numerical calculations for up to 10 particles on 50 lattice sites (∼1010 eigenstates) validate our approach.
| Original language | English (US) |
|---|---|
| Article number | 140405 |
| Journal | Physical Review Letters |
| Volume | 106 |
| Issue number | 14 |
| DOIs | |
| State | Published - Apr 8 2011 |
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All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
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Generalized thermalization in an integrable lattice system. / Cassidy, Amy C.; Clark, Charles W.; Rigol, Marcos Antonio.
In: Physical Review Letters, Vol. 106, No. 14, 140405, 08.04.2011.Research output: Contribution to journal › Article
TY - JOUR
T1 - Generalized thermalization in an integrable lattice system
AU - Cassidy, Amy C.
AU - Clark, Charles W.
AU - Rigol, Marcos Antonio
PY - 2011/4/8
Y1 - 2011/4/8
N2 - After a quench, observables in an integrable system may not relax to the standard thermal values, but can relax to the ones predicted by the generalized Gibbs ensemble (GGE). The GGE has been shown to accurately describe observables in various one-dimensional integrable systems, but the origin of its success is not fully understood. Here we introduce a microcanonical version of the GGE and provide a justification of the GGE based on a generalized interpretation of the eigenstate thermalization hypothesis, which was previously introduced to explain thermalization of nonintegrable systems. We study relaxation after a quench of one-dimensional hard-core bosons in an optical lattice. Exact numerical calculations for up to 10 particles on 50 lattice sites (∼1010 eigenstates) validate our approach.
AB - After a quench, observables in an integrable system may not relax to the standard thermal values, but can relax to the ones predicted by the generalized Gibbs ensemble (GGE). The GGE has been shown to accurately describe observables in various one-dimensional integrable systems, but the origin of its success is not fully understood. Here we introduce a microcanonical version of the GGE and provide a justification of the GGE based on a generalized interpretation of the eigenstate thermalization hypothesis, which was previously introduced to explain thermalization of nonintegrable systems. We study relaxation after a quench of one-dimensional hard-core bosons in an optical lattice. Exact numerical calculations for up to 10 particles on 50 lattice sites (∼1010 eigenstates) validate our approach.
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U2 - 10.1103/PhysRevLett.106.140405
DO - 10.1103/PhysRevLett.106.140405
M3 - Article
VL - 106
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 14
M1 - 140405
ER -