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Tree tensor networks and entanglement spectra

Autor(en)

Iztok Pizorn, Frank Verstraete, Robert M. Konik

Abstrakt

A tree tensor network variational method is proposed to simulate quantum

many-body systems with global symmetries where the optimization is

reduced to individual charge configurations. A computational scheme is

presented, namely how to extract the entanglement spectra in a bipartite

splitting of a loopless tensor network across multiple links of the

network, by constructing a matrix product operator for the reduced

density operator and simulating its eigenstates. The entanglement

spectra of 2×L, 3×L, and 4×L

with either open or periodic boundary conditions on the rungs are

studied using the presented methods, where it is found that the

entanglement spectrum depends not only on the subsystem but also on the

boundaries between the subsystems.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Brookhaven National Laboratory, Eidgenössische Technische Hochschule Zürich

Journal

Physical Review B

Band

Anzahl der Seiten

ISSN

1098-0121

DOI

https://doi.org/10.1103/PhysRevB.88.195102

Publikationsdatum

11-2013

Peer-reviewed

ÖFOS 2012

103025 Quantenmechanik, 103019 Mathematische Physik

Schlagwörter

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