Controlling decoherence via $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian open quantum systems

Abstract

We have studied the effect of a non-Hermitian Bosonic bath on the dynamics of a two-level spin system. The non-Hermitian Hamiltonian of the bath is chosen such that it converges to the harmonic oscillator Hamiltonian when the non-Hermiticity is switched off. We calculate the dynamics of the spin system and found that the non-Hermiticity can have positive as well as negative effects on the coherence of the system. However, the decoherence can be completely eliminated by choosing the non-Hermiticity parameter and the phase of the system bath interaction appropriately. We have also studied the effect of this bath on the entanglement of a two-spin system when the bath is acting only on one spin.

arXiv comment7 pages, 1 figure

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• Entanglement entropy distinguishes PT-symmetry and topological phases in a class of non-unitary quantum walks
• Analytical Study of the Non-Hermitian Semiclassical Rabi Model
• Local preservation of no-signaling in multiparty PT-symmetric evolutions
• Quantum electrodynamics in photonic crystals and controllability of ionization energy of atoms
• Non-Hermitian physics and engineering in silicon photonics
• Improved coherence time of a non-Hermitian qubit in a $\mathcal{P}\mathcal{T}$-symmetric Environment
• Exact solution of Schrödinger equation for the complex Morse potential to investigate physical systems with position-dependent complex mass
• $\mathcal{P}\mathcal{T}$-Symmetric Spin--Boson Model with a Continuous Bosonic Spectrum: Exceptional Points and Dynamics
• Probing Planck scale effects on absolute mass limit in neutrino flavor evolution