2015
DOI: 10.1103/physreva.92.062114
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Partly invariant steady state of two interacting open quantum systems

Abstract: We investigate two interacting open quantum systems whose time evolutions are governed by Markovian master equations. We show a class of coupled systems whose interaction leaves invariant the steady state of one of the systems, i.e., only one of the reduced steady states is sensitive to the interactions. A detailed proof with the help of the Trotter product formula is presented. We apply this general statement to a few models, one of which is the optomechanical coupling model where an optical cavity is coupled… Show more

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Cited by 7 publications
(9 citation statements)
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“…Rectification can be achieved even for resonant qubits thus allowing to conduct large heat currents without compromising rectification efficiency. Since the anisotropic exchange model can be applied to natural weak ferromagnets [41,42], nuclear spin environments [40,43], cavity QED [44][45][46], circuit QED [48][49][50][51], trapped ions [47], optomechanical systems [48,52,55] we anticipate that our results can be significant for the heat management in such systems.…”
Section: Discussionmentioning
confidence: 91%
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“…Rectification can be achieved even for resonant qubits thus allowing to conduct large heat currents without compromising rectification efficiency. Since the anisotropic exchange model can be applied to natural weak ferromagnets [41,42], nuclear spin environments [40,43], cavity QED [44][45][46], circuit QED [48][49][50][51], trapped ions [47], optomechanical systems [48,52,55] we anticipate that our results can be significant for the heat management in such systems.…”
Section: Discussionmentioning
confidence: 91%
“…We have investigated a quantum thermal diode composed of two qubits coupled to each other via anisotropic exchange interaction originally introduced in Ref. [52]. By deriving the global master equation, analytical expressions for the heat currents in the system are found.…”
Section: Discussionmentioning
confidence: 99%
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“…The optomechanical Hamiltonian has a special symmetry in which the number operator of the HF resonator mode is a constant of motion. The steady state of the HF resonator and the associated local observables for the HF mode are independent of the optomechanical coupling coefficient g [58]. The first three equations of motion form a closed set of dynamics for the q − p phase space trajectories, driven by n a .…”
Section: Discussionmentioning
confidence: 99%