Skip to main content

Superfluidity in the one-dimensional Bose-Hubbard model

Cornell Affiliated Author(s)

Author

T.G. Kiely
E.J. Mueller

Abstract

We study superfluidity in the one-dimensional Bose-Hubbard model using a variational matrix product state technique. We determine the superfluid density as a function of the Hubbard parameters by calculating the energy cost of phase twists in the thermodynamic limit. As the system is critical, correlation functions decay as power laws and the entanglement entropy grows with the bond dimension of our variational state. We relate the resulting scaling laws to the superfluid density. We compare two different algorithms for optimizing the infinite matrix product state and develop a physical explanation why one of them (VUMPS) is more efficient than the other (iDMRG). Finally, we comment on finite-temperature superfluidity in one dimension and how our results can be realized in cold-atom experiments. © 2022 American Physical Society.

Date Published

Journal

Physical Review B

Volume

105

Issue

13

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85128411344&doi=10.1103%2fPhysRevB.105.134502&partnerID=40&md5=afd22a7eecd43739f7736b13fbcc40ea

DOI

10.1103/PhysRevB.105.134502

Group (Lab)

Erich Mueller Group

Download citation