Entanglement transition in unitary system-bath dynamics
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908708051615744 |
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| author | Xing, Bo Chiriacò, Giuliano Cappellaro, Paola Fazio, Rosario Poletti, Dario |
| author_facet | Xing, Bo Chiriacò, Giuliano Cappellaro, Paola Fazio, Rosario Poletti, Dario |
| contents | The evolution of a system coupled to baths is commonly described by a master equation that, in the long-time limit, yields a steady-state density matrix. However, when the same evolution is unraveled into quantum trajectories, it is possible to observe a transition in the scaling of entanglement within the system as the system-bath coupling increases - a phenomenon that is invisible in the trajectory-averaged reduced density matrix of the system. Here, we go beyond the paradigm of trajectories from master equations and explore whether a qualitatively analogous entanglement-scaling transition emerges in the unitary evolution of the combined system-bath setup. We investigate the scaling of entanglement in a unitary quantum setup composed of a 2D lattice of free fermions, where each site is coupled to a fermionic bath. Varying the system-bath coupling reveals a transition from logarithmic-law to area-law scaling, visible in the logarithmic fermionic negativity, mutual information, and also in the correlations. This occurs while the system's steady-state properties are trivial, highlighting that the signatures of these different scalings are within the bath-bath correlations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06081 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Entanglement transition in unitary system-bath dynamics Xing, Bo Chiriacò, Giuliano Cappellaro, Paola Fazio, Rosario Poletti, Dario Quantum Physics Quantum Gases Statistical Mechanics The evolution of a system coupled to baths is commonly described by a master equation that, in the long-time limit, yields a steady-state density matrix. However, when the same evolution is unraveled into quantum trajectories, it is possible to observe a transition in the scaling of entanglement within the system as the system-bath coupling increases - a phenomenon that is invisible in the trajectory-averaged reduced density matrix of the system. Here, we go beyond the paradigm of trajectories from master equations and explore whether a qualitatively analogous entanglement-scaling transition emerges in the unitary evolution of the combined system-bath setup. We investigate the scaling of entanglement in a unitary quantum setup composed of a 2D lattice of free fermions, where each site is coupled to a fermionic bath. Varying the system-bath coupling reveals a transition from logarithmic-law to area-law scaling, visible in the logarithmic fermionic negativity, mutual information, and also in the correlations. This occurs while the system's steady-state properties are trivial, highlighting that the signatures of these different scalings are within the bath-bath correlations. |
| title | Entanglement transition in unitary system-bath dynamics |
| topic | Quantum Physics Quantum Gases Statistical Mechanics |
| url | https://arxiv.org/abs/2512.06081 |