Time-dependent variational principle for dissipative dynamics

被引:3
|
作者
Kraus, Christina V. [1 ,2 ]
Osborne, Tobias J. [3 ]
机构
[1] Austrian Acad Sci, Inst Quantum Opt & Quantum Informat, A-6020 Innsbruck, Austria
[2] Univ Innsbruck, Inst Theoret Phys, A-6020 Innsbruck, Austria
[3] Leibniz Univ Hannover, Inst Theoret Phys, D-30167 Hannover, Germany
来源
PHYSICAL REVIEW A | 2012年 / 86卷 / 06期
关键词
QUANTUM; DRIVEN;
D O I
10.1103/PhysRevA.86.062115
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
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 variationalmanifold 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.
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页数:5
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