Quantum Dynamics with Stochastic Non-Hermitian Hamiltonians

• URL: http://arxiv.org/abs/2407.07746v1
• Date: Wed, 10 Jul 2024 15:17:34 GMT
• Title: Quantum Dynamics with Stochastic Non-Hermitian Hamiltonians
• Authors: Pablo Martinez-Azcona, Aritra Kundu, Avadh Saxena, Adolfo del Campo, Aurelia Chenu,
• Abstract summary: We study the quantum dynamics generated by a non-Hermitian Hamiltonian subject to perturbations in its anti-Hermitian part. We characterize the resulting state evolution and analyze its purity.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the quantum dynamics generated by a non-Hermitian Hamiltonian subject to stochastic perturbations in its anti-Hermitian part, describing fluctuating gains and losses. The master equation governing the noise-average dynamics describes a new form of dephasing. We characterize the resulting state evolution and analyze its purity. The novel properties of such dynamics are illustrated in a stochastic dissipative qubit. Our analytical results show that adding noise allows for a rich control of the dynamics, with a greater diversity of steady states and the possibility of state purification.

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