Continuous matrix product states with periodic boundary conditions and an application to atomtronics

Autor(en)

Damian Draxler, Jutho Haegeman, Frank Verstraete, Matteo Rizzi

Abstrakt

We introduce a time evolution algorithm for one-dimensional quantum field theories with periodic boundary conditions. This is done by applying the Dirac-Frenkel time-dependent variational principle to the set of translational invariant continuous matrix product stateswith periodic boundary conditions. Moreover, the ansatz is accompanied with additional boundary degrees of freedom to study quantum impurity problems. The algorithm allows for a cutoff in the spectrum of the transfer matrix and thus has an efficient computational scaling. In particular we study the prototypical example of an atomtronic system-an interacting Bose gas rotating in a ring shaped trap in the presence of a localized barrier potential.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Ghent University , Johannes Gutenberg-Universität Mainz

Journal

Physical Review B

Band

95

Anzahl der Seiten

14

ISSN

2469-9950

DOI

https://doi.org/10.1103/PhysRevB.95.045145

Publikationsdatum

01-2017

Peer-reviewed

Ja

ÖFOS 2012

103024 Quantenfeldtheorie

Schlagwörter

ASJC Scopus Sachgebiete

Electronic, Optical and Magnetic Materials, Condensed Matter Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/f94c7ad9-379c-45b4-9add-f3365387891b