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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