Related papers: Entanglement transition in unitary system-bath dynamics

Entanglement transition in unitary system-bath dynamics

URL: http://arxiv.org/abs/2512.06081v1
Date: Fri, 05 Dec 2025 19:00:16 GMT
Title: Entanglement transition in unitary system-bath dynamics
Authors: Bo Xing, Giuliano Chiriacò, Paola Cappellaro, Rosario Fazio, Dario Poletti,
Abstract summary: 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.<n> 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.
Score: 0.07456526005219319
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: 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.

Related papers

Weak coupling limit for quantum systems with unbounded weakly commuting system operators [50.24983453990065]
This work is devoted to a rigorous analysis of the weak coupling limit (WCL) for the reduced dynamics of an open infinite-dimensional quantum system interacting with electromagnetic field or a reservoir formed by Fermi or Bose particles.<n>We derive in the weak coupling limit the reservoir statistics, which is determined by whose terms in the multi-point correlation functions of the reservoir are non-zero in the WCL.<n>We prove that the resulting reduced system dynamics converges to unitary dynamics with a modified Hamiltonian which can be interpreted as a Lamb shift to the original Hamiltonian.
arXiv Detail & Related papers (2025-05-13T05:32:34Z)
Measurement-induced transitions for interacting fermions [43.04146484262759]
We develop a field-theoretical framework that provides a unified approach to observables characterizing entanglement and charge fluctuations.<n>Within this framework, we derive a replicated Keldysh non-linear sigma model (NLSM)<n>By using the renormalization-group approach for the NLSM, we determine the phase diagram and the scaling of physical observables.
arXiv Detail & Related papers (2024-10-09T18:00:08Z)
Dirac Brackets $\leftrightarrow$ Lindblad Equation: A Correspondence [0.0]
We study the time evolution of an open quantum system governed by the Gorini-Kossakowski-Sudarshan-Lindlad equation. In a similar fashion, the time evolution of a physical observable in a classically constrained dynamical system is governed by a generalization of the Liouville equation. We derive an intriguing, but precise classical-quantum correspondence between the aforementioned situations which connects the Lindblad operators to the constraints.
arXiv Detail & Related papers (2024-05-04T04:42:15Z)
Measurement induced transitions in non-Markovian free fermion ladders [0.0]
We consider two coupled chains of free fermions, one acting as the system of interest, and one as a bath. The bath chain is subject to Markovian measurements, resulting in an effective non-Markovian dissipative dynamics acting on the system chain. We quantify the non-Markovianity of the system chain dynamics and find that for the regimes of parameters we study, a stronger non-Markovianity is associated to a larger entanglement within the system.
arXiv Detail & Related papers (2023-07-13T08:40:54Z)
Entanglement transitions and quantum bifurcations under continuous long-range monitoring [0.0]
We study the bipartite entanglement entropy of the quantum trajectories of a free-fermionic system, when subject to a continuous nonlocal monitoring.
arXiv Detail & Related papers (2023-07-11T18:00:08Z)
Quantifying measurement-induced quantum-to-classical crossover using an open-system entanglement measure [49.1574468325115]
We study the entanglement of a single particle under continuous measurements. We find that the entanglement at intermediate time scales shows the same qualitative behavior as a function of the measurement strength.
arXiv Detail & Related papers (2023-04-06T09:45:11Z)
Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
Signatures of localization have been observed in condensed matter and cold atomic systems. We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths. We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
arXiv Detail & Related papers (2023-03-13T12:45:25Z)
Full counting statistics as probe of measurement-induced transitions in the quantum Ising chain [62.997667081978825]
We show that local projective measurements induce a modification of the out-of-equilibrium probability distribution function of the local magnetization. In particular we describe how the probability distribution of the former shows different behaviour in the area-law and volume-law regimes.
arXiv Detail & Related papers (2022-12-19T12:34:37Z)
Indication of critical scaling in time during the relaxation of an open quantum system [34.82692226532414]
Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields. Near continuous phase transitions, associated with the divergence of a correlation length, universal power-law scaling behavior with critical exponents independent of microscopic system details is found.
arXiv Detail & Related papers (2022-08-10T05:59:14Z)
Monitored Open Fermion Dynamics: Exploring the Interplay of Measurement, Decoherence, and Free Hamiltonian Evolution [0.0]
We investigate the impact of dephasing and the inevitable evolution into a non-Gaussian, mixed state, on the dynamics of monitored fermions. For weak dephasing, constant monitoring preserves a weakly mixed state, which displays a robust measurement-induced phase transition. We interpret this as a signature of gapless, classical diffusion, which is stabilized by the balanced interplay of Hamiltonian dynamics, measurements, and decoherence.
arXiv Detail & Related papers (2022-02-28T19:00:13Z)
Discord and Decoherence [0.0]
We investigate how quantum discord is modified by a quantum-to-classical transition. We find that the evolution of quantum discord in presence of an environment is a competition between the growth of the squeezing amplitude and the decrease of the state purity.
arXiv Detail & Related papers (2021-12-09T17:01:54Z)
Universality of entanglement transitions from stroboscopic to continuous measurements [68.8204255655161]
We show that the entanglement transition at finite coupling persists if the continuously measured system is randomly nonintegrable. This provides a bridge between a wide range of experimental settings and the wealth of knowledge accumulated for the latter systems.
arXiv Detail & Related papers (2020-05-04T21:45:59Z)

This list is automatically generated from the titles and abstracts of the papers in this site.