Details
Original language | English |
---|---|
Article number | 012106 |
Journal | Physical Review A |
Volume | 93 |
Issue number | 1 |
Publication status | Published - 11 Jan 2016 |
Abstract
We establish a generic method to analyze the time evolution of open quantum many-body systems. Our approach is based on a variational integration of the quantum master equation describing the dynamics and naturally connects to a variational principle for its nonequilibrium steady state. We successfully apply our variational method to study dissipative Rydberg gases, finding very good quantitative agreement with small-scale simulations of the full quantum master equation. We observe that correlations related to non-Markovian behavior play a significant role during the relaxation dynamics towards the steady state. We further quantify this non-Markovianity and find it to be closely connected to an information-theoretical measure of quantum and classical correlations.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
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In: Physical Review A, Vol. 93, No. 1, 012106, 11.01.2016.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Time evolution of open quantum many-body systems
AU - Overbeck, Vincent R.
AU - Weimer, Hendrik
PY - 2016/1/11
Y1 - 2016/1/11
N2 - We establish a generic method to analyze the time evolution of open quantum many-body systems. Our approach is based on a variational integration of the quantum master equation describing the dynamics and naturally connects to a variational principle for its nonequilibrium steady state. We successfully apply our variational method to study dissipative Rydberg gases, finding very good quantitative agreement with small-scale simulations of the full quantum master equation. We observe that correlations related to non-Markovian behavior play a significant role during the relaxation dynamics towards the steady state. We further quantify this non-Markovianity and find it to be closely connected to an information-theoretical measure of quantum and classical correlations.
AB - We establish a generic method to analyze the time evolution of open quantum many-body systems. Our approach is based on a variational integration of the quantum master equation describing the dynamics and naturally connects to a variational principle for its nonequilibrium steady state. We successfully apply our variational method to study dissipative Rydberg gases, finding very good quantitative agreement with small-scale simulations of the full quantum master equation. We observe that correlations related to non-Markovian behavior play a significant role during the relaxation dynamics towards the steady state. We further quantify this non-Markovianity and find it to be closely connected to an information-theoretical measure of quantum and classical correlations.
UR - http://www.scopus.com/inward/record.url?scp=84955516947&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.93.012106
DO - 10.1103/PhysRevA.93.012106
M3 - Article
AN - SCOPUS:84955516947
VL - 93
JO - Physical Review A
JF - Physical Review A
SN - 2469-9926
IS - 1
M1 - 012106
ER -