Quantum Critical Behavior of Entanglement in Lattice Bosons with Cavity-Mediated Long-Range Interactions

Sharma S, Jaeger SB, Kraus R, Roscilde T, Morigi G (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Physical Review Letters American Physical Society

Book Volume: 129

Article Number: 143001

Journal Issue: 14

DOI: 10.1103/PhysRevLett.129.143001

Abstract

We analyze the ground-state entanglement entropy of the extended Bose-Hubbard model with infinite-range interactions. This model describes the low-energy dynamics of ultracold bosons tightly bound to an optical lattice and dispersively coupled to a cavity mode. The competition between on-site repulsion and global cavity-induced interactions leads to a rich phase diagram, which exhibits superfluid, supersolid, and insulating (Mott and checkerboard) phases. We use a slave-boson treatment of harmonic quantum fluctuations around the mean-field solution and calculate the entanglement entropy across the phase transitions. At commensurate filling, the insulator-superfluid transition is signaled by a singularity in the area-law scaling coefficient of the entanglement entropy, which is similar to the one reported for the standard Bose-Hubbard model. Remarkably, at the continuous Z2 superfluid-to-supersolid transition we find a critical logarithmic term, regardless of the filling. This behavior originates from the appearance of a roton mode in the excitation and entanglement spectrum, becoming gapless at the critical point, and it is characteristic of collective models.

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) Université Claude Bernard Lyon 1 (UCB) FR France (FR)

How to cite

APA:

Sharma, S., Jaeger, S.B., Kraus, R., Roscilde, T., & Morigi, G. (2022). Quantum Critical Behavior of Entanglement in Lattice Bosons with Cavity-Mediated Long-Range Interactions. Physical Review Letters, 129(14). https://doi.org/10.1103/PhysRevLett.129.143001

MLA:

Sharma, Shraddha, et al. "Quantum Critical Behavior of Entanglement in Lattice Bosons with Cavity-Mediated Long-Range Interactions." Physical Review Letters 129.14 (2022).

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