Details
| Original language | English |
|---|---|
| Article number | 062115 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 86 |
| Issue number | 6 |
| Publication status | Published - 26 Dec 2012 |
Abstract
We extend the time-dependent variational principle to the setting of dissipative dynamics. This provides a locally optimal (in time) approximation to the dynamics of any Lindblad equation within a given variational manifold of mixed states. In contrast to the pure-state setting, there is no canonical information geometry for mixed states, and this leads to a family of possible trajectories - one for each information metric. We focus on the case of the operationally motivated family of monotone Riemannian metrics and show further that, in the particular case where the variational manifold is given by the set of fermionic Gaussian states, all of these possible trajectories coincide. We illustrate our results in the case of the Hubbard model subject to spin decoherence.
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. 86, No. 6, 062115, 26.12.2012.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Time-dependent variational principle for dissipative dynamics
AU - Kraus, Christina V.
AU - Osborne, Tobias J.
PY - 2012/12/26
Y1 - 2012/12/26
N2 - We extend the time-dependent variational principle to the setting of dissipative dynamics. This provides a locally optimal (in time) approximation to the dynamics of any Lindblad equation within a given variational manifold of mixed states. In contrast to the pure-state setting, there is no canonical information geometry for mixed states, and this leads to a family of possible trajectories - one for each information metric. We focus on the case of the operationally motivated family of monotone Riemannian metrics and show further that, in the particular case where the variational manifold is given by the set of fermionic Gaussian states, all of these possible trajectories coincide. We illustrate our results in the case of the Hubbard model subject to spin decoherence.
AB - We extend the time-dependent variational principle to the setting of dissipative dynamics. This provides a locally optimal (in time) approximation to the dynamics of any Lindblad equation within a given variational manifold of mixed states. In contrast to the pure-state setting, there is no canonical information geometry for mixed states, and this leads to a family of possible trajectories - one for each information metric. We focus on the case of the operationally motivated family of monotone Riemannian metrics and show further that, in the particular case where the variational manifold is given by the set of fermionic Gaussian states, all of these possible trajectories coincide. We illustrate our results in the case of the Hubbard model subject to spin decoherence.
UR - http://www.scopus.com/inward/record.url?scp=84871766273&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.86.062115
DO - 10.1103/PhysRevA.86.062115
M3 - Article
AN - SCOPUS:84871766273
VL - 86
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
SN - 1050-2947
IS - 6
M1 - 062115
ER -