Details
| Original language | English |
|---|---|
| Article number | 040402 |
| Journal | Physical review letters |
| Volume | 114 |
| Issue number | 4 |
| Publication status | Published - 30 Jan 2015 |
Abstract
We present a novel generic framework to approximate the nonequilibrium steady states of dissipative quantum many-body systems. It is based on the variational minimization of a suitable norm of the quantum master equation describing the dynamics. We show how to apply this approach to different classes of variational quantum states and demonstrate its successful application to a dissipative extension of the Ising model, which is of importance to ongoing experiments on ultracold Rydberg atoms, as well as to a driven-dissipative variant of the Bose-Hubbard model. Finally, we identify several advantages of the variational approach over previously employed mean-field-like methods.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Physical review letters, Vol. 114, No. 4, 040402, 30.01.2015.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Variational principle for steady states of dissipative quantum many-body systems
AU - Weimer, Hendrik
PY - 2015/1/30
Y1 - 2015/1/30
N2 - We present a novel generic framework to approximate the nonequilibrium steady states of dissipative quantum many-body systems. It is based on the variational minimization of a suitable norm of the quantum master equation describing the dynamics. We show how to apply this approach to different classes of variational quantum states and demonstrate its successful application to a dissipative extension of the Ising model, which is of importance to ongoing experiments on ultracold Rydberg atoms, as well as to a driven-dissipative variant of the Bose-Hubbard model. Finally, we identify several advantages of the variational approach over previously employed mean-field-like methods.
AB - We present a novel generic framework to approximate the nonequilibrium steady states of dissipative quantum many-body systems. It is based on the variational minimization of a suitable norm of the quantum master equation describing the dynamics. We show how to apply this approach to different classes of variational quantum states and demonstrate its successful application to a dissipative extension of the Ising model, which is of importance to ongoing experiments on ultracold Rydberg atoms, as well as to a driven-dissipative variant of the Bose-Hubbard model. Finally, we identify several advantages of the variational approach over previously employed mean-field-like methods.
UR - http://www.scopus.com/inward/record.url?scp=84921899207&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.114.040402
DO - 10.1103/PhysRevLett.114.040402
M3 - Article
AN - SCOPUS:84921899207
VL - 114
JO - Physical review letters
JF - Physical review letters
SN - 0031-9007
IS - 4
M1 - 040402
ER -