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We calculate the entanglement entropy of strongly correlated low-dimensional fermions in metallic, superfluid and antiferromagnetic insulating phases. The entanglement entropy reflects the degrees of freedom available in each phase for…

Strongly Correlated Electrons · Physics 2009-11-11 V. V. França , K. Capelle

We study the logarithmic entanglement negativity of symmetry-protected topological (SPT) phases and quantum critical points (QCPs) of one-dimensional noninteracting fermions at finite temperatures. In particular, we consider a free fermion…

Strongly Correlated Electrons · Physics 2024-08-22 Wonjune Choi , Michael Knap , Frank Pollmann

The competition between unitary quantum dynamics and dissipative stochastic effects, as emerging from continuous-monitoring processes, can culminate in measurement-induced phase transitions. Here, a many-body system abruptly passes, when…

Statistical Mechanics · Physics 2025-02-04 Moritz Eissler , Igor Lesanovsky , Federico Carollo

The entanglement entropy in theories with a Fermi surface is known to produce a logarithmic violation of the usual area law behavior. We explore the possibility of producing this logarithmic violation holographically by analyzing the IR…

High Energy Physics - Theory · Physics 2015-06-03 Edgar Shaghoulian

We analyze the subsystem size scaling of the entanglement entropy of a non-ergodic pure state that can be described by a multi-parametric Gaussian ensemble of complex matrices in a bipartite basis. Our analysis indicates, for a given set of…

Quantum Physics · Physics 2024-12-11 Devanshu Shekhar , Pragya Shukla

Interspersing unitary dynamics with local measurements results in measurement-induced phases and transitions in many-body quantum systems. When the evolution is driven by a local Hamiltonian, two types of transitions have been observed,…

Quantum Physics · Physics 2024-02-23 Bo Xing , Xhek Turkeshi , Marco Schiró , Rosario Fazio , Dario Poletti

General scaling arguments, and the behavior of the thermal entropy density, are shown to lead to an infrared metric holographically representing a compressible state with hidden Fermi surfaces. This metric is characterized by a general…

Strongly Correlated Electrons · Physics 2015-03-19 Liza Huijse , Subir Sachdev , Brian Swingle

Quantum phases characterized by surfaces of gapless excitations are known to violate the otherwise ubiquitous boundary law of entanglement entropy in the form of a multiplicative log correction: $S\sim L^{d-1} \log L$. Using variational…

Strongly Correlated Electrons · Physics 2016-09-07 Ryan V. Mishmash , Olexei I. Motrunich

The effect of strong anisotropy on the Fermi line of a system of correlated electrons is studied in two space dimensions, using renormalization group techniques. Inflection points change the scaling exponents of the couplings, enhancing the…

Strongly Correlated Electrons · Physics 2009-10-30 J. Gonzalez , F. Guinea , M. A. H. Vozmediano

The local entropy of a nonequilibrium system of independent fermions is investigated, and analyzed in the context of the laws of thermodynamics. It is shown that the local temperature and chemical potential can only be expressed in terms of…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 Charles A. Stafford , Abhay Shastry

An outstanding challenge involves understanding the many-particle entanglement of liquid states of quantum matter that arise in systems of interacting electrons. The Fermi liquid (FL) in $D$ spatial dimensions shows a violation of the…

Strongly Correlated Electrons · Physics 2023-11-14 Siddhartha Patra , Anirban Mukherjee , Siddhartha Lal

The out-of-equilibrium dynamics of many body systems has recently received a burst of interest, also due to experimental implementations. The dynamics of both observables, such as magnetization and susceptibilities, and quantum information…

Quantum Physics · Physics 2019-11-12 Tony J. G. Apollaro , Salvatore Lorenzo

We propose a method of computing and studying entanglement quantities in non-Hermitian systems by use of a biorthogonal basis. We find that the entanglement spectrum characterizes the topological properties in terms of the existence of…

Strongly Correlated Electrons · Physics 2020-07-16 Po-Yao Chang , Jhih-Shih You , Xueda Wen , Shinsei Ryu

Characterizing universal entanglement features in higher-dimensional quantum matter is a central goal of quantum information science and condensed matter physics. While the subleading corner terms in two-dimensional quantum systems…

Strongly Correlated Electrons · Physics 2025-12-30 Chang-Yu Shen , Shuai Yin , Zi-Xiang Li

In the present contribution we consider a singular phase field system located in a smooth and bounded three-dimensional domain. The entropy balance equation is perturbed by a logarithmic nonlinearity and by the presence of an additional…

Analysis of PDEs · Mathematics 2017-07-10 Pierluigi Colli , Michele Colturato

A significant part of the phase diagram of the two-dimensional fermionic Hubbard model for moderate interactions and filling factors ($U < 4, \, n<0.7$) is governed by effective Fermi liquid physics with weak BCS-type instabilities. We…

Strongly Correlated Electrons · Physics 2015-07-07 Youjin Deng , Evgeny Kozik , Nikolay V. Prokof'ev , Boris V. Svistunov

We study diffusion in systems of classical particles whose dynamics conserves the total center of mass. This conservation law leads to several interesting consequences. In finite systems, it allows for equilibrium distributions that are…

Statistical Mechanics · Physics 2024-01-04 Jung Hoon Han , Ethan Lake , Sunghan Ro

We present a new area law which is associated with the correlator of OPE blocks in higher dimensional conformal field theories (CFTs). The area law shows similar behaviour as black hole entropy or geometric entanglement entropy. It includes…

High Energy Physics - Theory · Physics 2021-03-17 Jiang Long

In this paper, based on the notion of Gauge/Gravity duality, we explore the laws of entanglement thermodynamics for most generic classes of Quantum Field Theories with hyperscaling violation. In our analysis, we note that for Quantum Field…

High Energy Physics - Theory · Physics 2016-06-22 Dibakar Roychowdhury

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…

Quantum Physics · Physics 2025-12-16 Bo Xing , Giuliano Chiriacò , Paola Cappellaro , Rosario Fazio , Dario Poletti