Quantum Mpemba effect in a quantum dot with reservoirs
- URL: http://arxiv.org/abs/2304.02411v2
- Date: Fri, 14 Jul 2023 02:36:17 GMT
- Title: Quantum Mpemba effect in a quantum dot with reservoirs
- Authors: Amit Kumar Chatterjee, Satoshi Takada, Hisao Hayakawa
- Abstract summary: We show that the system temperatures starting from two different initial values, cross each other at finite time to generate thermal quantam Mpemba effect.
The slowest relaxation mode believed to play the dominating role in Mpemba effect in Markovian systems, does not contribute to such anomalous relaxation in the present model.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We demonstrate the quantum Mpemba effect in a quantum dot coupled to two
reservoirs, described by the Anderson model. We show that the system
temperatures starting from two different initial values (hot and cold), cross
each other at finite time (and thereby reverse their identities i.e. hot
becomes cold and vice versa) to generate thermal quantam Mpemba effect. The
slowest relaxation mode believed to play the dominating role in Mpemba effect
in Markovian systems, does not contribute to such anomalous relaxation in the
present model. In this connection, our analytical result provides necessary
condition for producing quantum Mpemba effect in the density matrix elements of
the quantum dot, as a combined effect of the remaining relaxation modes.
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