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We study the scaling behavior of the entanglement entropy of two dimensional conformal quantum critical systems, i.e. systems with scale invariant wave functions. They include two-dimensional generalized quantum dimer models on bipartite…

Statistical Mechanics · Physics 2009-03-28 Benjamin Hsu , Michael Mulligan , Eduardo Fradkin , Eun-Ah Kim

We present an exact and fully analytical treatment of the entanglement dynamics for an isolated system of $N$ coupled oscillators following a sudden quench of the system parameters. The system is analyzed using the solutions of the time…

Quantum Physics · Physics 2018-02-28 Supriyo Ghosh , Kumar S. Gupta , Shashi C. L. Srivastava

We consider quantum rotors or Ising spins in a transverse field on a $d$-dimensional lattice, with random, frustrating, short-range, exchange interactions. The quantum dynamics are associated with a finite moment of inertia for the rotors,…

Condensed Matter · Physics 2009-10-22 N. Read , S. Sachdev , J. Ye

For the purpose of clarifying a new approach to understanding quantum entanglement using thermofield dynamics (TFD), entanglement entropies of non-equilibrium finite-spin systems are examined for both traditional and extended cases. The…

Statistical Mechanics · Physics 2015-02-18 Koichi Nakagawa

We derive exact expressions for the local entanglement entropy E in the ground state of the one-dimensional Hubbard model at a quantum phase transition driven by a change in magnetic field h or chemical potential u. The leading divergences…

Strongly Correlated Electrons · Physics 2009-11-11 Daniel Larsson , Henrik Johannesson

The study by Glauber of the time-dependent statistics of the Ising chain is extended to the case where each spin is influenced unequally by its nearest neighbours. The asymmetry of the dynamics implies the failure of the detailed balance…

Statistical Mechanics · Physics 2015-05-27 Claude Godreche

We study the distribution of finite size pseudo-critical points in a one-dimensional random quantum magnet with a quantum phase transition described by an infinite randomness fixed point. Pseudo-critical points are defined in three…

Disordered Systems and Neural Networks · Physics 2008-03-12 Ferenc Iglói , Yu-Cheng Lin , Heiko Rieger , Cécile Monthus

We examine the behavior of entanglement entropy of a subsystem $A$ in a fully backreacted holographic model of a $1+1$ dimensional $p$ wave superconductor across the phase transition. For a given temperature, the system goes to a…

High Energy Physics - Theory · Physics 2017-09-12 Sumit R. Das , Mitsutoshi Fujita , Bom Soo Kim

Quantum spin liquids are phases of matter whose internal structure is not captured by a local order parameter. Particularly intriguing are critical spin liquids, where strongly interacting excitations control low energy properties. Here we…

Strongly Correlated Electrons · Physics 2011-08-05 Yi Zhang , Tarun Grover , Ashvin Vishwanath

We calculate the probability distribution of entanglement entropy S across a cut of a finite one dimensional spin chain of length L at an infinite randomness fixed point using Fisher's strong randomness renormalization group (RG). Using the…

Statistical Mechanics · Physics 2017-03-23 Trithep Devakul , Satya N. Majumdar , David A. Huse

We study the entanglement entropy between the two outgoing particles in an elastic scattering process. It is formulated within an S-matrix formalism using the partial wave expansion of two-body states, which plays a significant role in our…

High Energy Physics - Theory · Physics 2016-07-08 Robi Peschanski , Shigenori Seki

We consider the entanglement entropy for the 2D Ising model at the conformal fixed point in the presence of interfaces. More precisely, we investigate the situation where the two subsystems are separated by a defect line that preserves…

High Energy Physics - Theory · Physics 2015-05-25 Enrico M. Brehm , Ilka Brunner

Motivated by recent discussions of entanglement in the context of high energy scattering, we consider the relation between the entanglement entropy of a highly excited state of a quantum system and the classical entanglement entropy of the…

Quantum Physics · Physics 2023-01-18 Haowu Duan , Alex Kovner , Vladimir V. Skokov

Entanglement entropy appears as a central property of quantum systems in broad areas of physics. However, its precise value is often sensitive to unknown microphysics, rendering it incalculable. By considering parametric dependence on…

High Energy Physics - Theory · Physics 2011-02-09 Mark P. Hertzberg , Frank Wilczek

We study the relative entanglement entropy (EE) among various primary excited states in two critical spin chains: the S=1/2 XXZ chain and the transverse field Ising chain at criticality. For the S=1/2 XXZ chain, which corresponds to c=1…

Statistical Mechanics · Physics 2017-09-26 Yuya O. Nakagawa , Tomonori Ugajin

We consider a section of a half-filled chain of free electrons and its entanglement with the rest of the system in the presence of one or two interface defects. We find a logarithmic behaviour of the entanglement entropy with constants…

Statistical Mechanics · Physics 2009-11-11 Ingo Peschel

We compute the entropy of entanglement between the first $N$ spins and the rest of the system in the ground states of a general class of quantum spin-chains. We show that under certain conditions the entropy can be expressed in terms of…

Quantum Physics · Physics 2009-11-11 J. P. Keating , F. Mezzadri

We examine the entanglement entropy of the even half of a translationally invariant finite chain or lattice in its ground state. This entropy measures the entanglement between the even and odd halves (each forming a "comb" of $n/2$ sites)…

Quantum Physics · Physics 2011-04-26 Raul Rossignoli , Norma Canosa , Juan Mauricio Matera

We propose a scheme to characterize long-range quantum entanglement close to a finite temperature critical point using tripartite entanglement negativity. As an application, we study a model with mean-field Ising critical exponents and find…

Strongly Correlated Electrons · Physics 2020-12-11 Tsung-Cheng Lu , Tarun Grover

We present a fully quantum mechanical treatment of the nondegenerate optical parametric oscillator both below and near threshold. This is a non-equilibrium quantum system with a critical point phase-transition, that is also known to exhibit…

Quantum Physics · Physics 2009-11-10 K. Dechoum , P. D. Drummond , S. Chaturvedi , M. D. Reid