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This research investigates fundamental thermalization dynamics in quantum systems where memory effects and initial coherence lead to non-monotonic relaxation paths, including Mpemba-like reversals. These findings are critical for understanding noise resilience and control protocols in future quantum processors that rely on repeated interactions with ancillary environments. The study advances theoretical frameworks necessary for managing decoherence in scalable quantum architectures.
Thermalization in a repeated-interaction model with memory effects
arXiv:2610.02854v1 Announce Type: new Abstract: We study how memory affects the thermalization of a qubit in a repeated-interaction model. In our model, a memory qubit interacts repeatedly with the system, while both qubits undergo collisions with fresh thermal ancillas. We derive exact closed evolution equations for their populations and mutual coherence, and demonstrate memory effects using a causal-break operation. Although the system converges to the target thermal state, the thermalization behavior shows non-monotonic approach. We also find a Mpemba-like reversal, in which the number of collisions required for thermalization depends non-monotonically on the temperature of the target state. Within the initial-state family considered, both phenomena require initial coherence between the system and memory or an imbalance in their excited-state populations.
Abstract:We study how memory affects the thermalization of a qubit in a repeated-interaction model. In our model, a memory qubit interacts repeatedly with the system, while both qubits undergo collisions with fresh thermal ancillas. We derive exact closed evolution equations for their populations and mutual coherence, and demonstrate memory effects using a causal-break operation. Although the system converges to the target thermal state, the thermalization behavior shows non-monotonic approach. We also find a Mpemba-like reversal, in which the number of collisions required for thermalization depends non-monotonically on the temperature of the target state. Within the initial-state family considered, both phenomena require initial coherence between the system and memory or an imbalance in their excited-state populations.
arXiv:2610.02854 [quant-ph]
(or arXiv:2610.02854v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2610.02854 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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