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Density Matrix Renormalization Group for Continuous Quantum Systems

Cornell Affiliated Author(s)

Author

S. Dutta
A. Buyskikh
A.J. Daley
E.J. Mueller

Abstract

We introduce a versatile and practical framework for applying matrix product state techniques to continuous quantum systems. We divide space into multiple segments and generate continuous basis functions for the many-body state in each segment. By combining this mapping with existing numerical density matrix renormalization group routines, we show how one can accurately obtain the ground-state wave function, spatial correlations, and spatial entanglement entropy directly in the continuum. For a prototypical mesoscopic system of strongly interacting bosons we demonstrate faster convergence than standard grid-based discretization. We illustrate the power of our approach by studying a superfluid-insulator transition in an external potential. We outline how one can directly apply or generalize this technique to a wide variety of experimentally relevant problems across condensed matter physics and quantum field theory. © 2022 authors. Published by the American Physical Society.

Date Published

Journal

Physical Review Letters

Volume

128

Issue

23

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85132328561&doi=10.1103%2fPhysRevLett.128.230401&partnerID=40&md5=c991f08a71db0fa050687d1a76af92c6

DOI

10.1103/PhysRevLett.128.230401

Group (Lab)

Erich Mueller Group

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