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Continuous monitoring of one-dimensional free fermionic systems can generate phenomena reminiscent of quantum criticality, such as logarithmic entanglement growth, algebraic correlations, and emergent conformal invariance, but in a…

量子物理 · 物理学 2026-05-12 Clemens Niederegger , Tatiana Vovk , Elias Starchl , Lukas M. Sieberer

We investigate the entanglement structure and wave function characteristics of continuously monitored free fermions with U$(1)$-symmetry in two spatial dimensions (2D). By deriving the exact fermion replica-quantum master equation, we line…

强关联电子 · 物理学 2025-07-15 K. Chahine , M. Buchhold

Entanglement measures constitute powerful tools in the quantitative description of quantum many-body systems out of equilibrium. We study entanglement in the current-carrying steady state of a paradigmatic one-dimensional model of…

量子物理 · 物理学 2023-10-30 Shachar Fraenkel , Moshe Goldstein

A common view in monitored quantum dynamics is that local measurements suppress entanglement growth. We show that this intuition can fail in a one-dimensional spinful fermionic chain governed by a BCS Hamiltonian with pairing strength…

量子物理 · 物理学 2026-04-07 Rui-Jing Guo , Ji-Yao Chen , Zhi-Yuan Wei

We study the entanglement entropy of the quantum trajectories of a free fermion chain under continuous monitoring of local occupation numbers. We propose a simple theory for entanglement entropy evolution from disentangled and highly…

统计力学 · 物理学 2019-08-28 Xiangyu Cao , Antoine Tilloy , Andrea De Luca

Non-equilibrium dynamics of many-body quantum systems under the effect of measurement protocols is attracting an increasing amount of attention. It has been recently revealed that measurements may induce an abrupt change in the scaling-law…

统计力学 · 物理学 2022-03-23 Michele Coppola , Emanuele Tirrito , Dragi Karevski , Mario Collura

Entanglement entropy under a particle bipartition provides complementary information to mode entanglement as it is sensitive to interactions and particle statistics at leading order and does not depend on any externally imposed length…

We identify an unconventional algebraic scaling phase in the quantum dynamics of free fermions with long range hopping, which are exposed to continuous local density measurements. The unconventional phase is characterized by an algebraic…

统计力学 · 物理学 2022-01-19 Thomas Müller , Sebastian Diehl , Michael Buchhold

Entanglement plays a prominent role in the study of condensed matter many-body systems: Entanglement measures not only quantify the possible use of these systems in quantum information protocols, but also shed light on their physics.…

量子物理 · 物理学 2021-11-02 Shachar Fraenkel , Moshe Goldstein

Effect of measurements on interacting fermionic systems with particle-number conservation, whose dynamics is governed by a time-independent Hamiltonian, is studied. We develop Keldysh field-theoretical framework that provides a unified…

量子物理 · 物理学 2025-01-13 Igor Poboiko , Paul Pöpperl , Igor V. Gornyi , Alexander D. Mirlin

Thermal equilibrium states of local quantum many-body systems are notorious for their spatially decaying correlations, which place severe restrictions on the types of many-body entanglement structures that may be observed at finite…

量子物理 · 物理学 2024-07-24 Shachar Fraenkel , Moshe Goldstein

A theory of the measurement-induced entanglement phase transition for free-fermion models in $d>1$ dimensions is developed. The critical point separates a gapless phase with $\ell^{d-1} \ln \ell$ scaling of the second cumulant of the…

量子物理 · 物理学 2024-03-19 Igor Poboiko , Igor V. Gornyi , Alexander D. Mirlin

We develop an analytical approach to the study of one-dimensional free fermions subject to random projective measurements of local site occupation numbers, based on the Keldysh path-integral formalism and replica trick. In the limit of rare…

量子物理 · 物理学 2023-12-13 Igor Poboiko , Paul Pöpperl , Igor V. Gornyi , Alexander D. Mirlin

Free fermions with a finite Fermi surface are known to exhibit an anomalously large entanglement entropy. The leading contribution to the entanglement entropy of a region of linear size $L$ in $d$ spatial dimensions is $S\sim L^{d-1}…

强关联电子 · 物理学 2012-10-03 Brian Swingle

We numerically investigate measurement-induced phase transitions in monitored free fermions through the spectral and eigenstate properties of the entanglement Hamiltonian. By analyzing entanglement scaling, we identify three non-trivial…

量子物理 · 物理学 2025-09-11 Karim Chahine , Michael Buchhold

We investigate an odd-sized fermionic open tight-binding chain subjected to stochastic projective measurements at its central site, effectively inducing localized dephasing. Focusing initially on the single-particle regime, we demonstrate…

量子物理 · 物理学 2026-05-27 Aitijhya Saha , Srijani Das , Debraj Rakshit

This study investigates the entanglement properties of disordered free fermion systems undergoing an Anderson phase transition from a delocalized to a localized phase. The entanglement entropy is employed to quantify the degree of…

强关联电子 · 物理学 2023-09-26 Mohammad Pouranvari

We introduce a one-dimensional (1D) extended quantum breakdown model comprising a fermionic and a spin degree of freedom per site, and featuring a spatially asymmetric breakdown-type interaction between the fermions and spins. We…

强关联电子 · 物理学 2024-10-17 Bo-Ting Chen , Abhinav Prem , Nicolas Regnault , Biao Lian

We characterize non-perturbatively the R\'enyi entropies of degree n=2,3,4, and 5 of three-dimensional, strongly coupled many-fermion systems in the scale-invariant regime of short interaction range and large scattering length, i.e. in the…

量子气体 · 物理学 2016-10-12 William J. Porter , Joaquín E. Drut

We study theoretically and numerically the entanglement entropy of the $d$-dimensional free fermions whose one body Hamiltonian is the Anderson model. Using basic facts of the exponential Anderson localization, we show first that the…

量子物理 · 物理学 2014-10-15 L. Pastur , V. Slavin
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