Details
| Original language | English |
|---|---|
| Article number | 050304 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 90 |
| Issue number | 5 |
| Publication status | Published - 20 Nov 2014 |
Abstract
We study a distribution of thermal states given by random Hamiltonians with a local structure. We show that the ensemble of thermal states monotonically approaches the unitarily invariant ensemble with decreasing temperature if all particles interact according to a single random interaction and achieves a state t-design at temperature O(1/log(t)). For the system where the random interactions are local, we show that the ensemble achieves a state 1-design. We then provide numerical evidence indicating that the ensemble undergoes a phase transition at finite temperature.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
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In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 90, No. 5, 050304, 20.11.2014.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Thermal states of random quantum many-body systems
AU - Nakata, Yoshifumi
AU - Osborne, Tobias J.
PY - 2014/11/20
Y1 - 2014/11/20
N2 - We study a distribution of thermal states given by random Hamiltonians with a local structure. We show that the ensemble of thermal states monotonically approaches the unitarily invariant ensemble with decreasing temperature if all particles interact according to a single random interaction and achieves a state t-design at temperature O(1/log(t)). For the system where the random interactions are local, we show that the ensemble achieves a state 1-design. We then provide numerical evidence indicating that the ensemble undergoes a phase transition at finite temperature.
AB - We study a distribution of thermal states given by random Hamiltonians with a local structure. We show that the ensemble of thermal states monotonically approaches the unitarily invariant ensemble with decreasing temperature if all particles interact according to a single random interaction and achieves a state t-design at temperature O(1/log(t)). For the system where the random interactions are local, we show that the ensemble achieves a state 1-design. We then provide numerical evidence indicating that the ensemble undergoes a phase transition at finite temperature.
UR - http://www.scopus.com/inward/record.url?scp=84919362959&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.90.050304
DO - 10.1103/PhysRevA.90.050304
M3 - Article
AN - SCOPUS:84919362959
VL - 90
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
SN - 1050-2947
IS - 5
M1 - 050304
ER -