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$(\mathcal{PT})$-symmetry phase transition in a bipartite lattice with long-range interactions |
| Dapeng Zheng(郑大鹏), Siwu Li(李思吾), and Zeliang Xiang(项泽亮)† |
| School of Physics, Sun Yat-sen University, Guangzhou 510275, China |
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Abstract We investigate the parity-time $(\mathcal{PT})$ symmetry-breaking quantum phase transition in a one-dimensional (1D) bosonic lattice featuring cavity-mediated long-range interactions and spatially staggered dissipation. By mapping the system to an effective spin chain under the constraints of hard-core bosons and integrating the mean-field decoupling approach with biorthogonal basis formalism, we derive a self-consistency equation. Numerical simulation results validate that the derived equation quantitatively captures the $\mathcal{PT}$-symmetry order parameter's phase diagram. Our findings reveal that coherent hopping maintains $\mathcal{PT}$ symmetry through quantum fluctuations. Conversely, cavity-engineered long-range interactions, in synergy with staggered dissipation, act in opposition to drive symmetry breaking. This competitive interplay can inspire further exploration of tunable quantum phase transitions in non-Hermitian systems.
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Received: 10 April 2025
Revised: 23 May 2025
Accepted manuscript online: 26 May 2025
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PACS:
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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42.50.Pq
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(Cavity quantum electrodynamics; micromasers)
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64.70.Tg
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(Quantum phase transitions)
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05.30.Jp
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(Boson systems)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 12375025). |
Corresponding Authors:
Zeliang Xiang
E-mail: xiangzliang@mail.sysu.edu.cn
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| About author: 2025-110305-250628.pdf |
Cite this article:
Dapeng Zheng(郑大鹏), Siwu Li(李思吾), and Zeliang Xiang(项泽亮) $(\mathcal{PT})$-symmetry phase transition in a bipartite lattice with long-range interactions 2025 Chin. Phys. B 34 110305
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