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Published on: May 30, 2014
Quantum Mpemba Effect Induced by Non-Markovian Exceptional Points
Ze-Zhou Zhang1, Hong-Gang Luo1, Wei Wu1
1Lanzhou University, Key Laboratory of Quantum Theory and Applications of Ministry of Education, Lanzhou Center for Theoretical Physics and Key Laboratory of Theoretical Physics of Gansu Province, and School of Physical Science and Technology, Lanzhou 730000, China.
Abstract:
Quantum Mpemba effect describes an anomalous phenomenon of accelerated relaxation, which is of fundamental interest in the field of nonequilibrium thermodynamics. Conventional theories on this phenomenon strongly rely on the Born-Markovian approximation resulting in a Lindblad-type master equation whose evolution is governed by a Liouvillian superoperator. It has been demonstrated that exceptional points of the Liouvillian superoperator can induce the Mpemba effect in Markovian regimes. Moving beyond this Markovian limit, we here propose a mechanism for observing the quantum Mpemba effect in a general non-Markovian relaxation process by means of non-Markovian exceptional points. We verify the feasibility of this mechanism within a dissipative quantum harmonic oscillator model, which is exactly solvable and experimentally practical. Providing new insight into the interesting nonequilibrium dynamics, our Letter paves a way to accelerate the transfer of energy and information in quantum systems.
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