General response formula and application to topological insulator in quantum open system

We study a hybrid quantum open system consisting of two interacting subsystems formed by one two-level atom (qubit) and one three-level atom (qutrit). The quantum open system is coupled to an external environment (cavity) via the qubit-cavity interaction. It is found that the feedback control on different parts of the system (qubit or qutrit) gives dramatically different asymptotical behaviors of the open system dynamics. We show that the local feedback control mechanism acting on the qutrit subsystem is superior than that on the qubit in the sense of improving the entanglement. Particularly, the qutrit-control scheme may result in an entangled steady state, depending on the initial state.

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General response formula and minimum energy control of 2-D continuous-discrete linear systems

Proceedings of 1994 33rd IEEE Conference on Decision and Control ◽

10.1109/cdc.1994.411269 ◽

2002 ◽

Cited By ~ 1

Author(s):

T. Kaczorek

Keyword(s):

Linear Systems ◽

Minimum Energy ◽

Energy Control ◽

Discrete Linear Systems ◽

Minimum Energy Control ◽

General Response ◽

Response Formula

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Adiabatic speedup in a non-Markovian quantum open system

Physical Review A ◽

10.1103/physreva.98.062118 ◽

2018 ◽

Vol 98 (6) ◽

Cited By ~ 5

Author(s):

Zhao-Ming Wang ◽

Da-Wei Luo ◽

Mark S. Byrd ◽

Lian-Ao Wu ◽

Ting Yu ◽

...

Keyword(s):

Open System ◽

Quantum Open System

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Factorization of the dephasing process in a quantum open system

Physical Review E ◽

10.1103/physreve.75.011105 ◽

2007 ◽

Vol 75 (1) ◽

Cited By ~ 8

Author(s):

Y. B. Gao ◽

C. P. Sun

Keyword(s):

Open System ◽

Quantum Open System

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UNCERTAINTY RELATION FOR A QUANTUM OPEN SYSTEM

International Journal of Modern Physics A ◽

10.1142/s0217751x95002102 ◽

1995 ◽

Vol 10 (31) ◽

pp. 4537-4561 ◽

Cited By ~ 26

Author(s):

B.L. HU ◽

YUHONG ZHANG

Keyword(s):

Open System ◽

Uncertainty Relation ◽

Brownian Particle ◽

Thermal Fluctuations ◽

Generalized Uncertainty Relation ◽

Decoherence Time ◽

Statistical State ◽

Classical Transition ◽

Quantum Statistical ◽

Quantum Open System

We derive the uncertainty relation for a quantum open system consisting of a Brownian particle interacting with a bath of quantum oscillators at finite temperature. We examine how the quantum and thermal fluctuations of the environment contribute to the uncertainty in the canonical variables of the system. We show that upon contact with the bath (assumed to be ohmic in this paper) the system evolves from a quantum-dominated state to a thermal-dominated state in a time which is the same as the decoherence time in similar models in the discussion of quantum to classical transition. This offers some insight into the physical mechanisms involved in the environment-induced decoherence process. We obtain closed analytic expressions for this generalized uncertainty relation under the conditions of high temperature and weak damping, separately. We also consider under these conditions an arbitrarily squeezed initial state and show how the squeeze parameter enters in the generalized uncertainty relation. Using these results we examine the transition of the system from a quantum pure state to a nonequilibrium quantum statistical state and to an equilibrium quantum statistical state. The three stages are marked by the decoherence time and the relaxation time, respectively. With these observations we explicate the physical conditions under which the two basic postulates of quantum statistical mechanics become valid. We also comment on the inappropriate usage of the word “classicality” in many decoherence studies of quantum to classical transition.

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