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The 2D toric code is a prototypical example that exhibits non-trivial topological properties and a ground state possessing a non-trivial topological order. Until now, all the cases studied in the literature have been in the stable…

Quantum Physics · Physics 2024-11-01 Cesar Damian , Adriana Saldana-Robles , Michael von Spakovsky

We use gauge-gravity duality to compute entanglement entropy in a non-conformal background with an energy scale $\Lambda$. At zero temperature, we observe that entanglement entropy decreases by raising $\Lambda$. However, at finite…

High Energy Physics - Theory · Physics 2017-08-02 M. Rahimi , M. Ali-Akbari , M. Lezgi

Symmetry-protected topological phases cannot be described by any local order parameter and are beyond the conventional symmetry-breaking paradigm for understanding quantum matter. They are characterized by topological boundary states robust…

Entanglement measures find frequent application in the study of topologically ordered systems, where the presence of topological order is reflected in an additional contribution to the entanglement of the system. Obtaining this topological…

Strongly Correlated Electrons · Physics 2014-05-07 Claudio Castelnovo

We study the entanglement entropy in confining theories with gravity duals using the holographic prescription of Ryu and Takayanagi. The entanglement entropy between a region and its complement is proportional to the minimal area of a bulk…

High Energy Physics - Theory · Physics 2009-11-18 Ari Pakman , Andrei Parnachev

In quantum statistical mechanics, finite-temperature phase transitions are typically governed by classical field theories. In this context, the role of quantum correlations is unclear: recent contributions have shown how entanglement is…

Statistical Mechanics · Physics 2022-02-08 Poetri Sonya Tarabunga , Tiago Mendes-Santos , Fabrizio Illuminati , Marcello Dalmonte

A charged entanglement entropy is a new measure which probes quantum entanglement between different charge sectors. We study symmetry protected topological (SPT) phases in 2+1 dimensional space-time by using this charged entanglement…

Strongly Correlated Electrons · Physics 2016-05-11 Shunji Matsuura , Xueda Wen , Ling-Yan Hung , Shinsei Ryu

Both direct and indirect weak nonresonant interactions are shown to produce entanglement between two initially disentangled systems prepared as a tensor product of thermal states, provided the initial temperature is sufficiently low.…

Quantum Physics · Physics 2009-11-11 Michael Khasin , Ronnie Kosloff

We demonstrate the existence of a finite temperature threshold for a 1D stabilizer code under an error correcting protocol that requires only a fraction of the syndrome measurements. Below the threshold temperature, encoded states have…

Quantum Physics · Physics 2018-09-26 C. Daniel Freeman , Mohan Sarovar , C. M. Herdman , K. B. Whaley

The entanglement entropy of free fermions with a Fermi surface is known to obey a logarithmic scaling and violate the area law in all dimensions. Here, we would like to see how temperature affects the logarithmic scaling behavior. To this…

Statistical Mechanics · Physics 2019-06-11 Hassan Shapourian , Shinsei Ryu

We consider the estimation of an unknown parameter $\theta$ through a quantum probe at thermal equilibrium. The probe is assumed to be in a Gibbs state according to its Hamiltonian $H_\theta$, which is divided in a parameter-encoding term…

Quantum Physics · Physics 2026-01-23 Paolo Abiuso , Pavel Sekatski , John Calsamiglia , Martí Perarnau-Llobet

Various types of topological phenomena at criticality are currently under active research. In this paper we suggest to generalize the known topological quantities to finite temperatures, allowing us to consider gapped and critical (gapless)…

Mesoscale and Nanoscale Physics · Physics 2026-02-03 Oleksandr Balabanov , Carlos Ortega-Taberner , Maria Hermanns

We demonstrate that linear combinations of subregion entropies with canceling boundary terms, commonly used to calculate the topological entanglement entropy, may suffer from spurious nontopological contributions even in models with zero…

Quantum Physics · Physics 2020-04-16 Dominic J. Williamson , Arpit Dua , Meng Cheng

We explore the gapless topological phases of a $p$-wave superconductor, probing its rich topologically ordered phases and underlying quantum phenomena. The topological order of the system is characterized by studying its entanglement…

Other Condensed Matter · Physics 2025-09-30 S. Srinidhi , Shashi C. L. Srivastava , Jayendra N. Bandyopadhyay

We consider the finite temperature effective potential of the standard model at the one-loop level in four dimensions by taking account of two kinds of order parameters, the Higgs vacuum expectation value and the zero modes of gauge fields…

High Energy Physics - Theory · Physics 2014-06-11 M. Sakamoto , K. Takenaga

It is believed that the $\pm J$ Ising spin-glass does not order at finite temperatures in dimension $d=2$. However, using a graphical representation and a contour argument, we prove rigorously the existence of a finite-temperature phase…

Disordered Systems and Neural Networks · Physics 2022-09-21 Yan Ru Pei , Massimiliano Di Ventra

We study the dynamics of the entanglement in one dimensional critical quantum systems after a local quench in which two independently thermalized semi-infinite halves are joined to form a homogeneous infinite system and left to evolve…

Statistical Mechanics · Physics 2015-07-07 Marianne Hoogeveen , Benjamin Doyon

We study the mixed-state entanglement structure of chaotic quantum many-body systems at late times using the recently developed $\textit{equilibrium approximation}$. A rich entanglement phase diagram emerges when we generalize this…

High Energy Physics - Theory · Physics 2022-08-17 Shreya Vardhan , Jonah Kudler-Flam , Hassan Shapourian , Hong Liu

We present a protocol to experimentally measure the infinite-temperature out-of-time-ordered correlation (OTOC) -- which is a probe of quantum information scrambling in a system -- for systems with a Hamiltonian which has either a chiral…

Quantum Physics · Physics 2020-06-29 Bhuvanesh Sundar

Many-body quantum systems with local interactions undergo ``sudden death of entanglement" at high temperatures, whereby thermal states become classical mixtures of product states. We investigate whether symmetry constraints can prevent this…

Quantum Physics · Physics 2025-10-06 Amir-Reza Negari , Leonardo A. Lessa , Subhayan Sahu