$\mathcal{P}\mathcal{T}$-symmetric slowing-down of decoherence

Abstract

We investigate $\mathcal{P}\mathcal{T}$-symmetric quantum systems ultra-weakly coupled to an environment. We find that such open systems evolve under $\mathcal{P}\mathcal{T}$-symmetric, purely dephasing and unital dynamics. The dynamical map describing the evolution is then determined explicitly using a quantum canonical transformation. Furthermore, we provide an explanation of why $\mathcal{P}\mathcal{T}$-symmetric dephasing type interactions lead to \emph{critical slowing down of decoherence}. This effect is further exemplified with an experimentally relevant system -- a $\mathcal{P}\mathcal{T}$-symmetric qubit easily realizable, \emph{e.g.}, in optical or microcavity experiments.

5 pages, 1 figure

References in corpus (24)

• Quantum Computing
• Artificial Brownian motors: Controlling transport on the nanoscale
• PT-Symmetric Phonon Laser
• Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard
• $\mathcal{P}\mathcal{T}$-Symmetry-Breaking Chaos in Optomechanics
• Exploring Dephasing of a Solid-State Quantum Emitter via Time- and Temperature- Dependent Hong-Ou-Mandel Experiments
• Giant nonlinearity via breaking parity-time symmetry: a route to low-threshold phonon diodes
• Quantum Operation Time Reversal
• Non-hermitian quantum thermodynamics
• Holevo's bound from a general quantum fluctuation theorem
• Characterizing quantum dynamics with initial system-environment correlations
• Jarzynski equality in $\mathcal{P}\mathcal{T}$-symmetric quantum mechanics
• Zeno and anti-Zeno polarization control of spin-ensembles by induced dephasing
• Effects of Dephasing on Spin Lifetime in Ballistic Spin-Orbit Materials
• Quantum master equation with balanced gain and loss
• Parity-Time Symmetric Coupled Microresonators with a Dispersive Gain/Loss
• Efficiency Statistics and Bounds for Systems with Broken Time-Reversal Symmetry
• Suppression of dephasing by qubit motion in superconducting circuits
• Effects of initial system-environment correlations on open quantum system dynamics and state preparation
• A Lindblad Model of Quantum Brownian Motion
• Repeatability of measurements: Equivalence of hermitian and non-hermitian observables
• $\mathcal{P}\mathcal{T}$ symmetry breaking for the scattering problem in a one-dimensional non-Hermitian lattice model
• Dephasing due to nuclear spins in large-amplitude electric dipole spin resonance
• Exact solution of the Schrodinger equation with the spin-boson Hamiltonian

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• Witnessing criticality in non-Hermitian systems via entropic uncertainty relation
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