Bond order via cavity-mediated interactions

Chanda T, Kraus R, Zakrzewski J, Morigi G (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Physical Review B American Physical Society

Book Volume: 106

Article Number: 075137

Journal Issue: 7

DOI: 10.1103/PhysRevB.106.075137

Abstract

We numerically study the phase diagram of bosons tightly trapped in the lowest band of an optical lattice and dispersively coupled to a single-mode cavity field. The dynamics is encompassed by an extended Bose-Hubbard model. Here, the cavity-mediated interactions are described by a two-body potential term with a global range and by a correlated tunneling term where the hopping amplitude depends on a global observable. We determine the ground-state properties in one dimension by means of the density matrix renormalization group algorithm, focusing on the effects due to the correlated tunneling. The latter is responsible for the onset of bond orders, manifesting in one insulating and two gapless bond-ordered phases. We discuss the resulting phases for different geometries that correspond to different relative strengths of the correlated tunneling coefficient. We finally analyze the scaling of the entanglement entropy in the gapless bond-ordered phases that appear entirely due to global interactions and determine the corresponding central charges.

Additional Organisation(s)

Sonderforschungsbereich/Transregio 306/1: Quantenkooperativität von Licht und Materie - QuCoLiMa

Related research project(s)

Spatio-temporal structures in interacting spin systems (D02) TRR 306: Quantenkooperativität von Licht und Materie – QuCoLiMa Jan. 1, 2021 - Dec. 31, 2024

Involved external institutions

Universität des Saarlandes (UdS) DE Germany (DE) The Abdus Salam International Centre for Theoretical Physics ICTP IT Italy (IT) Jagiellonian University / Uniwersytet Jagielloński (UJ) PL Poland (PL)

How to cite

APA:

Chanda, T., Kraus, R., Zakrzewski, J., & Morigi, G. (2022). Bond order via cavity-mediated interactions. Physical Review B, 106(7). https://doi.org/10.1103/PhysRevB.106.075137

MLA:

Chanda, Titas, et al. "Bond order via cavity-mediated interactions." Physical Review B 106.7 (2022).

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