Probing non-equilibrium physics through the two-body Bell correlator
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866917052881567744 |
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| author | Muhuri, Abhishek Konar, Tanoy Kanti Lakkaraju, Leela Ganesh Chandra De, Aditi Sen |
| author_facet | Muhuri, Abhishek Konar, Tanoy Kanti Lakkaraju, Leela Ganesh Chandra De, Aditi Sen |
| contents | Identifying equilibrium criticalities and phases from the dynamics of a system, known as a dynamical quantum phase transition (DQPT), is a challenging task when relying solely on local observables. We exhibit that the experimentally accessible two-body Bell operator, originally designed to detect nonlocal correlations in quantum states, serves as an effective witness of DQPTs in a long-range (LR) XY spin chain subjected to a magnetic field, where the interaction strength decays as a power law. Following a sudden quench of the system parameters, the Bell operator between nearest-neighbor spins exhibits a distinct drop at the critical boundaries. In this study, we consider two quenching protocols, namely sudden quenches of the magnetic field strength and the interaction fall-off rate. This pronounced behavior defines a threshold, distinguishing intra-phase from inter-phase quenches, remaining valid regardless of the strength of long-range interactions, anisotropy, and system sizes. Comparative analyses further demonstrate that conventional classical and quantum correlators, including entanglement, fail to capture this transition during dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_27657 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Probing non-equilibrium physics through the two-body Bell correlator Muhuri, Abhishek Konar, Tanoy Kanti Lakkaraju, Leela Ganesh Chandra De, Aditi Sen Quantum Physics Quantum Gases Statistical Mechanics Strongly Correlated Electrons Identifying equilibrium criticalities and phases from the dynamics of a system, known as a dynamical quantum phase transition (DQPT), is a challenging task when relying solely on local observables. We exhibit that the experimentally accessible two-body Bell operator, originally designed to detect nonlocal correlations in quantum states, serves as an effective witness of DQPTs in a long-range (LR) XY spin chain subjected to a magnetic field, where the interaction strength decays as a power law. Following a sudden quench of the system parameters, the Bell operator between nearest-neighbor spins exhibits a distinct drop at the critical boundaries. In this study, we consider two quenching protocols, namely sudden quenches of the magnetic field strength and the interaction fall-off rate. This pronounced behavior defines a threshold, distinguishing intra-phase from inter-phase quenches, remaining valid regardless of the strength of long-range interactions, anisotropy, and system sizes. Comparative analyses further demonstrate that conventional classical and quantum correlators, including entanglement, fail to capture this transition during dynamics. |
| title | Probing non-equilibrium physics through the two-body Bell correlator |
| topic | Quantum Physics Quantum Gases Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2510.27657 |