Thermodynamics of the quantum Mpemba effect
- URL: http://arxiv.org/abs/2403.16959v3
- Date: Fri, 04 Oct 2024 15:01:12 GMT
- Title: Thermodynamics of the quantum Mpemba effect
- Authors: Mattia Moroder, OisÃn Culhane, Krissia Zawadzki, John Goold,
- Abstract summary: We show that an exponential speedup to equilibrium will always occur if the state is transformed to a diagonal state in the energy eigenbasis.
When the transformed state has a higher nonequilibrium free energy, we argue using thermodynamic reasoning that this is a textitgenuine quantum Mpemba effect.
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- Abstract: We investigate the quantum Mpemba effect from the perspective of non-equilibrium quantum thermodynamics by studying relaxation dynamics of quantum systems coupled to a Markovian heat bath, which are described by Davies maps. Starting from a state with coherences in the energy eigenbasis, we demonstrate that an exponential speedup to equilibrium will always occur if the state is transformed to a diagonal state in the energy eigenbasis, provided that the spectral gap of the generator is defined by a complex eigenvalue. When the transformed state has a higher nonequilibrium free energy, we argue using thermodynamic reasoning that this is a \textit{genuine} quantum Mpemba effect. Furthermore, we show how a unitary transformation on an initial state can always be constructed to yield the effect and demonstrate our findings by studying the dynamics of both the non-equilibrium free energy and the irreversible entropy production in single and multi-qubit examples.
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