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Quantum Dynamics with Stochastic Non-Hermitian Hamiltonians
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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 dynamics averaged over the noise is described by an `anti-dephasing' master equation. We characterize the resulting state evolution and analyze its purity. The 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, stabilizing the lossy state and making state purification possible to a greater variety of steady states.
Forward citations
Cited by 2 Pith papers
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Emulation of Self-Consistent Non-Hermitian Quantum Formalisms
New dilation protocols on IBM quantum hardware provide the first experimental access to the dynamical metric of non-Hermitian quantum mechanics.
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Noise-enhanced quantum clocks and global field sensors
Dephasing noise can increase the quantum Fisher information for time and global-field estimation, yielding noise-enhanced quantum clocks and sensors in specific regimes.
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