$(\mathcal{PT})$-symmetry phase transition in a bipartite lattice with long-range interactions

doi:10.1088/1674-1056/addcd4

中国物理B ›› 2025, Vol. 34 ›› Issue (11): 110305-110305.doi: 10.1088/1674-1056/addcd4

$(\mathcal{PT})$-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

收稿日期:2025-04-10 修回日期:2025-05-23 接受日期:2025-05-26 发布日期:2025-11-10
通讯作者: Zeliang Xiang E-mail:xiangzliang@mail.sysu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 12375025).

$(\mathcal{PT})$-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

Received:2025-04-10 Revised:2025-05-23 Accepted:2025-05-26 Published:2025-11-10
Contact: Zeliang Xiang E-mail:xiangzliang@mail.sysu.edu.cn
About author:2025-110305-250628.pdf
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 12375025).

摘要/Abstract

摘要： 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.

关键词: $\mathcal{PT}$ symmetry, 1D bosonic lattice, long-range interactions, staggered dissipation, quantum phase transition

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.

Key words: $\mathcal{PT}$ symmetry, 1D bosonic lattice, long-range interactions, staggered dissipation, quantum phase transition

中图分类号: (Decoherence; open systems; quantum statistical methods)

03.65.Yz

42.50.Pq (Cavity quantum electrodynamics; micromasers) 64.70.Tg (Quantum phase transitions) 05.30.Jp (Boson systems)

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[J]. 中国物理B, 2025, 34(11): 110305-110305.

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[J]. Chin. Phys. B, 2025, 34(11): 110305-110305.

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$(\mathcal{PT})$-symmetry phase transition in a bipartite lattice with long-range interactions

$(\mathcal{PT})$-symmetry phase transition in a bipartite lattice with long-range interactions

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