Entanglement negativity in free lattice models

Viktor Eisler, Zoltán Zimborás

Research output: Contribution to conferencePosterResearch

Abstract

In pure states of many-body quantum systems, entanglement is routinely studied via the Renyi entropies, which give a complete characterization of the bipartite case. The situation becomes more complicated for mixed states, e.g. if the system is composed of more than two parts, and one is interested in the entanglement between two non-complementary pieces. In such a scenario the entanglement can be characterized by a suitable measure called logarithmic negativity which has been the focus of recent interest. Similarly to pure-state entanglement, most of our analytical understanding of negativity in many-body lattice systems originates from studying Gaussian states. In this talk I would like to give an overview about the available methods to extract information about the entanglement negativity in free lattice models. In particular, I will present some new results on tripartite entanglement in ground states of critical lattice models in one and two dimensions and, furthermore, even for systems driven far from equilibrium.
Original languageEnglish
Publication statusPublished - 15 Feb 2016
EventMECO41 - Wien, Austria
Duration: 15 Feb 201617 Feb 2016

Conference

ConferenceMECO41
CountryAustria
CityWien
Period15/02/1617/02/16

Fingerprint

entropy
ground state

Cite this

Eisler, V., & Zimborás, Z. (2016). Entanglement negativity in free lattice models. Poster session presented at MECO41, Wien, Austria.

Entanglement negativity in free lattice models. / Eisler, Viktor; Zimborás, Zoltán.

2016. Poster session presented at MECO41, Wien, Austria.

Research output: Contribution to conferencePosterResearch

Eisler, V & Zimborás, Z 2016, 'Entanglement negativity in free lattice models' MECO41, Wien, Austria, 15/02/16 - 17/02/16, .
Eisler V, Zimborás Z. Entanglement negativity in free lattice models. 2016. Poster session presented at MECO41, Wien, Austria.
Eisler, Viktor ; Zimborás, Zoltán. / Entanglement negativity in free lattice models. Poster session presented at MECO41, Wien, Austria.
@conference{af9de1e3e5b6493e8d0cd37f6ee6cd08,
title = "Entanglement negativity in free lattice models",
abstract = "In pure states of many-body quantum systems, entanglement is routinely studied via the Renyi entropies, which give a complete characterization of the bipartite case. The situation becomes more complicated for mixed states, e.g. if the system is composed of more than two parts, and one is interested in the entanglement between two non-complementary pieces. In such a scenario the entanglement can be characterized by a suitable measure called logarithmic negativity which has been the focus of recent interest. Similarly to pure-state entanglement, most of our analytical understanding of negativity in many-body lattice systems originates from studying Gaussian states. In this talk I would like to give an overview about the available methods to extract information about the entanglement negativity in free lattice models. In particular, I will present some new results on tripartite entanglement in ground states of critical lattice models in one and two dimensions and, furthermore, even for systems driven far from equilibrium.",
author = "Viktor Eisler and Zolt{\'a}n Zimbor{\'a}s",
year = "2016",
month = "2",
day = "15",
language = "English",
note = "MECO41 ; Conference date: 15-02-2016 Through 17-02-2016",

}

TY - CONF

T1 - Entanglement negativity in free lattice models

AU - Eisler, Viktor

AU - Zimborás, Zoltán

PY - 2016/2/15

Y1 - 2016/2/15

N2 - In pure states of many-body quantum systems, entanglement is routinely studied via the Renyi entropies, which give a complete characterization of the bipartite case. The situation becomes more complicated for mixed states, e.g. if the system is composed of more than two parts, and one is interested in the entanglement between two non-complementary pieces. In such a scenario the entanglement can be characterized by a suitable measure called logarithmic negativity which has been the focus of recent interest. Similarly to pure-state entanglement, most of our analytical understanding of negativity in many-body lattice systems originates from studying Gaussian states. In this talk I would like to give an overview about the available methods to extract information about the entanglement negativity in free lattice models. In particular, I will present some new results on tripartite entanglement in ground states of critical lattice models in one and two dimensions and, furthermore, even for systems driven far from equilibrium.

AB - In pure states of many-body quantum systems, entanglement is routinely studied via the Renyi entropies, which give a complete characterization of the bipartite case. The situation becomes more complicated for mixed states, e.g. if the system is composed of more than two parts, and one is interested in the entanglement between two non-complementary pieces. In such a scenario the entanglement can be characterized by a suitable measure called logarithmic negativity which has been the focus of recent interest. Similarly to pure-state entanglement, most of our analytical understanding of negativity in many-body lattice systems originates from studying Gaussian states. In this talk I would like to give an overview about the available methods to extract information about the entanglement negativity in free lattice models. In particular, I will present some new results on tripartite entanglement in ground states of critical lattice models in one and two dimensions and, furthermore, even for systems driven far from equilibrium.

M3 - Poster

ER -