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Open Quantum Systems Decoherence Quantum Simulation

mathcal{PT} symmetry of a square-wave modulated two-level system

arXiv

Authors: Liwei Duan, Yan-Zhi Wang, Qing-Hu Chen

Year

2020

Paper ID

21434

Status

Preprint

Abstract Read

~2 min

Abstract Words

157

Citations

N/A

Abstract

We study a non-Hermitian two-level system with square-wave modulated dissipation and coupling. Based on the Floquet theory, we achieve an effective Hamiltonian from which the boundaries of the mathcal{PT} phase diagram are captured exactly. Two kinds of mathcal{PT} symmetry broken phases are found whose effective Hamiltonians differ by a constant ω/ 2. For the time-periodic dissipation, a vanishingly small dissipation strength can lead to the mathcal{PT} symmetry breaking in the (2k-1)-photon resonance $Δ= (2k-1 ω), withk=1,2,3\dotsIt is worth noting that such a phenomenon can also happen in2k-photon resonance $Δ= 2k ω$, as long as the dissipation strengths or the driving times are imbalanced, namelyγ_0 \ne - γ_1orT_0 \ne T_1. For the time-periodic coupling, the weak dissipation induced\mathcal{PT}symmetry breaking occurs atΔ_{\mathrm{eff}}=kω, whereΔ_{\mathrm{eff}}=\leftΔ₀ T₀ + Δ₁ T_1right/T. In the high frequency limit, the phase boundary is given by a simple relationγ_{\mathrm{eff}}=\pmΔ_{\mathrm{eff}}$.

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We study a non-Hermitian two-level system with square-wave modulated dissipation and coupling.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2008.07068 [2] arXiv https://arxiv.org/abs/2008.07068 [3] Publisher https://arxiv.org/abs/2008.07068

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