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We investigate the universal information contained in the Renyi entanglement entropies for a free massless Dirac fermion in three spatial dimensions. Using numerical calculations on the lattice, we examine the case where the entangling…

Strongly Correlated Electrons · Physics 2019-05-08 Grigory Bednik , Lauren E. Hayward Sierens , Minyong Guo , Robert C. Myers , Roger G. Melko

We study a free fermion model where two sets of non-commuting non-projective measurements stabilize area-law entanglement scaling phases of distinct topological order. We show the presence of a topological phase transition that is of a…

Quantum Physics · Physics 2023-03-15 Graham Kells , Dganit Meidan , Alessandro Romito

We construct, from first principles, a covariant local model for scalar fractonic matter coupled to a symmetric tensor gauge field. The free gauge field action is just the one of the Blasi-Maggiore model. The scalar sector, describing…

High Energy Physics - Theory · Physics 2025-04-16 Rodrigo F. Sobreiro

We investigate entanglement dynamics in continuously monitored open quantum systems featuring current-carrying non-equilibrium states. We focus on a prototypical one-dimensional model of boundary-driven non-interacting fermions with…

Statistical Mechanics · Physics 2022-07-12 Xhek Turkeshi , Lorenzo Piroli , Marco Schirò

We propose a randomized algorithm to compute the log-partition function of weakly interacting fermions with polynomial runtime in both the system size and precision. Although weakly interacting fermionic systems are considered tractable for…

We study the entanglement Hamiltonian for a spherical domain in the ground state of a nonrelativistic free-fermion gas in arbitrary dimensions. Decomposed into a set of radial entanglement Hamiltonians, we show that the entanglement…

Statistical Mechanics · Physics 2024-05-15 Viktor Eisler

We introduce a family of inhomogeneous XX spin chains whose squared couplings are a polynomial of degree at most four in the site index. We show how to obtain an asymptotic approximation for the R\'enyi entanglement entropy of all such…

Strongly Correlated Electrons · Physics 2023-11-14 Federico Finkel , Artemio González-López

The emergence of the concept of a causal fermion system is revisited and further investigated for the vacuum Dirac equation in Minkowski space. After a brief recap of the Dirac equation and its solution space, in order to allow for the…

Mathematical Physics · Physics 2020-12-15 Marco Oppio

Entanglement has developed into an essential concept for the characterization of phases and phase transitions in ground states of quantum many-body systems. In this work, we use the logarithmic negativity to study the spatial entanglement…

Strongly Correlated Electrons · Physics 2018-08-28 Younes Javanmard , Daniele Trapin , Soumya Bera , Jens H. Bardarson , Markus Heyl

We study symmetry breaking and gap generation for fermions in the 2D space of constant negative curvature (the Lobachevsky plane) in an external covariantly constant magnetic field in a four-fermion model. It is shown that due to the…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. V. Gorbar , V. P. Gusynin

We investigate a class of exactly solvable quantum quench protocols with a finite quench rate in systems of one dimensional non-relativistic fermions in external harmonic oscillator or inverted harmonic oscillator potentials, with time…

High Energy Physics - Theory · Physics 2019-10-21 Sumit R. Das , Shaun Hampton , Sinong Liu

We study the spectral statistics of interacting spinless fermions in a two-dimensional disordered lattice. Within a full quantum treatment for small few-particle-systems, we compute the low-energy many-body states numerically. While at weak…

Strongly Correlated Electrons · Physics 2009-11-10 Gabriel Vasseur , Dietmar Weinmann

The three-dimensional Abelian Chern-Simons theory coupled to a scalar and a fermionic field of arbitrary charge is considered in order to study conformal symmetry breakdown and the effective potential stability. We present an improved…

High Energy Physics - Theory · Physics 2014-11-21 A. G. Dias , A. F. Ferrari

The statistical mechanics of nonrelativistic fermions in a constant magnetic field is considered from the quantum field theory point of view. The fermionic determinant is computed using a general procedure that contains all possible…

High Energy Physics - Theory · Physics 2009-11-07 O. Espinosa , J. Gamboa , S. Lepe , F. Mendez

The effects of a long range electronic potential on a one dimensional chain of spinless fermions are investigated by numerical techniques (Exact Diagonalisation of rings with up to 30 sites complemented by finite size analysis) and analytic…

Strongly Correlated Electrons · Physics 2009-10-31 Sylvain Capponi , Didier Poilblanc , Thierry Giamarchi

We study a model of strongly correlated spinless fermions on a kagome lattice at 1/3 filling, with interactions described by an extended Hubbard Hamiltonian. An effective Hamiltonian in the desired strong correlation regime is derived, from…

Strongly Correlated Electrons · Physics 2015-05-18 Aroon O'Brien , Frank Pollmann , Peter Fulde

An effective low energy field theory is developed for a system of two chains. The main novelty of the approach is that it allows to treat generic intrachain repulsive interactions of arbitrary strength. The chains are coupled by a direct…

Strongly Correlated Electrons · Physics 2015-05-18 A. M. Tsvelik

In this paper, we study the influence of spatial fluctuations in a two-dimentional Kondo-Lattice model (KLM) with anti-ferromagnetic couplings. To accomplish this, we first present an implementation of the dual-fermion (DF) approach based…

Strongly Correlated Electrons · Physics 2013-09-03 Gang Li

In the paper we investigate statistical and topological properties of fractional Brownian polymer chains, equipped with the short-range volume interactions. The attention is paid to statistical properties of collapsed conformations with the…

Soft Condensed Matter · Physics 2021-06-09 A. M. Astakhov , V. A. Avetisov , S. K. Nechaev , K. E. Polovnikov

We investigate some properties of a system of Dirac fermions in 2+1 dimensions, with a space dependent mass having domain wall like defects.These defects are defined by the loci of the points where the mass changes sign. In general, they…

High Energy Physics - Theory · Physics 2009-10-31 C. D. Fosco , A. Lopez