Work

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

Year: 2017

Type: article

Abstract: 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 states with 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.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.95.045145

Authors: Damian Draxler, Jutho Haegeman, Frank Verstraete, Matteo Rizzi

Institutions: University of Vienna, Ghent University, Johannes Gutenberg University Mainz

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funders: Deutsche Forschungsgemeinschaft, Austrian Science Fund