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We investigate a system of bosons in a two-dimensional harmonic trap. In the limit of strong attractive interactions, the bosons make a droplet insensitive to external confinement. For weak interactions, in contrast, the ground state is…

Quantum Gases · Physics 2025-07-01 Fabian Brauneis , Artem G. Volosniev , Hans-Werner Hammer

We investigate transitions between topologically ordered phases in two spatial dimensions induced by the condensation of a bosonic quasiparticle. To this end, we formulate an extension of the theory of symmetry breaking phase transitions…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 F. A. Bais , J. K. Slingerland

We examine the quantum tunneling process in Bose condensates of two interacting species trapped in a double well configuration. We discover the condition under which particles of different species can tunnel as pairs through the potential…

Soft Condensed Matter · Physics 2009-11-07 H. T. Ng , C. K. Law , P. T. Leung

Entanglement in nonequilibrium systems is considered. A general definition for entanglement measure is introduced, which can be applied for characterizing the level of entanglement produced by arbitrary operators. Applying this definition…

Quantum Physics · Physics 2009-11-10 V. I. Yukalov

Gapped interfaces (and boundaries) of two-dimensional (2D) Abelian topological phases are shown to support a remarkably rich sequence of 1D symmetry-protected topological (SPT) states. We show that such interfaces can provide a physical…

Strongly Correlated Electrons · Physics 2018-08-24 Luiz H. Santos , Jennifer Cano , Michael Mulligan , Taylor L. Hughes

We study the properties of entanglement in two-dimensional topologically ordered phases of matter. Such phases support anyons, quasiparticles with exotic exchange statistics. The emergent nonlocal state spaces of anyonic systems admit a…

Quantum Physics · Physics 2017-10-17 Parsa Bonderson , Christina Knapp , Kaushal Patel

We review the behavior of the entropy per particle in various two-dimensional electronic systems. The entropy per particle is an important characteristic of any many body system that tells how the entropy of the ensemble of electrons…

Mesoscale and Nanoscale Physics · Physics 2019-02-05 Y. M. Galperin , D. Grassano , V. P. Gusynin , A. V. Kavokin , O. Pulci , S. G. Sharapov , V. O. Shubnyi , A. A. Varlamov

Presence of entangled states is explicitly shown in Topological insulator (TI) $Bi_2Te_3$. The surface and bulk state are found to have the different structures of entanglement. The surface states live as maximally entangled states in the…

Quantum Physics · Physics 2017-04-04 Anvesh Raja Kovela , Anant Vijay Verma , Prasanta K. Panigrahi , Bhavesh Chauhan

Entropy is a quantity for counting physical degrees of freedom in a system. At a finite temperature, one can use thermal entropy to study thermodynamical properties. At zero temperature, entanglement entropy is expected to provide a…

High Energy Physics - Theory · Physics 2018-10-29 Chen-Te Ma

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

The entanglement entropy of intervals in $1+1$ interface CFTs is modified in two ways compared to a CFT without interface: there is a finite boundary entropy contribution, and, for an interval with an endpoint at the interface, the…

High Energy Physics - Theory · Physics 2026-05-01 Evangelos Afxonidis , Ignacio Carreño Bolla , Carlos Hoyos , Andreas Karch

Entanglement entropy provides a powerful characterization of two-dimensional gapped topological phases of quantum matter, intimately tied to their description by topological quantum field theories (TQFTs). Fracton topological orders are…

Strongly Correlated Electrons · Physics 2018-03-08 Han Ma , A. T. Schmitz , S. A. Parameswaran , Michael Hermele , Rahul M. Nandkishore

The phase structure of holographic entanglement entropy is studied in massive gravity for the quantum systems with finite and infinite volumes, which in the bulk is dual to calculate the minimal surface area for a black hole and black brane…

General Relativity and Quantum Cosmology · Physics 2016-11-30 Xiao-Xiong Zeng , Hongbao Zhang , Li-Fang Li

We investigate the diagonal entropy for ground states of the extended Kitaev chains with extensive pairing and hopping terms. The systems contain rich topological phases equivalently represented by topological invariant winding numbers and…

Quantum Physics · Physics 2019-12-02 Hong Qiao , Zheng-Hang Sun , Feng-Xiao Sun , Liang-Zhu Mu , Qiongyi He , Heng Fan

We study the normal modes and the stability of two component condensates in a phase separated regime. In such a regime the system can undergo a quantum phase transition upon the change of interaction strength between bosons of the same…

Statistical Mechanics · Physics 2009-11-07 Anatoly A. Svidzinsky , Siu-Tat Chui

We analyse the entanglement entropy properties of a two-dimensional p-wave superconductor with Rashba spin-orbit coupling, which displays a rich phase-space that supports non-trivial topological phases, as the chemical potential and the…

Superconductivity · Physics 2015-03-18 T. P. Oliveira , P. Ribeiro , P. D. Sacramento

A special feature of the ground state in a topologically ordered phase is the existence of large scale correlations depending only on the topology of the regions. These correlations can be detected by the topological entanglement entropy or…

Quantum Physics · Physics 2016-02-15 Kohtaro Kato , Fabian Furrer , Mio murao

We show that the quantum order parameters (QOP) associated with the transitions between a normal conductor and a superconductor in the BCS and eta-pairing models and between a Mott-insulator and a superfluid in the Bose-Hubbard model are…

Quantum Physics · Physics 2007-05-23 Fernando Guadalupe Santos Lins Brandao

Bose condensation is central to our understanding of quantum phases of matter. Here we review Bose condensation in topologically ordered phases (also called topological symmetry breaking), where the condensing bosons have non-trivial mutual…

Strongly Correlated Electrons · Physics 2018-05-23 F. J. Burnell

Entanglement is a special feature of the quantum world that reflects the existence of subtle, often non-local, correlations between local degrees of freedom. In topological theories such non-local correlations can be given a very intuitive…

High Energy Physics - Theory · Physics 2020-01-31 D. Melnikov , A. Mironov , S. Mironov , A. Morozov , An. Morozov
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