Effects of energy extensivity on the quantum phases of long-range interacting systems

Year: 2021

Authors: Botzung T., Hagenmuller D., Masella G., Dubail J., Defenu N., Trombettoni A., Pupillo G.

Autors Affiliation: Univ Strasbourg, ISIS UMR 7006, F-67000 Strasbourg, France; Univ Strasbourg, icFRC, F-67000 Strasbourg, France; CNRS, F-67000 Strasbourg, France; Rhein Westfal TH Aachen, Inst Quantum Informat, D-52056 Aachen, Germany; Forschungszentrum Julich, Peter Grunberg Inst, Theoret Nanoelect, D-52425 Julich, Germany; Univ Lorraine, LPCT UMR7019, F-54506 Vandoeuvre Les Nancy, France; CNRS, F-54506 Vandoeuvre Les Nancy, France; Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, Germany; SISSA, I-34136 Trieste, Italy; Ist Nazl Fis Nucl, Sez Trieste, I-34136 Trieste, Italy.

Abstract: We investigate the ground state properties of one-dimensional hard-core bosons interacting via a variable long-range potential using the density matrix renormalization group. We show that restoring energy extensivity in the system, which is done by rescaling the interaction potential with a suitable size-dependent factor known as Kac’s prescription, has a profound influence on the low-energy properties in the thermodynamic limit. While an insulating phase is found in the absence of Kac’s rescaling, the latter leads to a new metallic phase that does not fall into the conventional Luttinger liquid paradigm. We discuss a scheme for the observation of this new phase using cavity-mediated long-range interactions with cold atoms. Our findings raise fundamental questions on how to study the thermodynamics of long-range interacting quantum systems.

Journal/Review: PHYSICAL REVIEW B

Volume: 103 (15)      Pages from: 155139-1  to: 155139-12

More Information: We are grateful to T. Donner, S. Ruffo , S. Schutz, and D. Vodola for stimulating discussions. Work in Strasbourg was supported by the French National Research Agency (ANR) – ERA-NET QuantERA – Projet RouTe (ANR-18QUAN-0005-01), and LabEx NIE. G.P. acknowledges support from the Institut Universitaire de France (IUF) and USIAS. G.M. was supported by the ANR through the Programme d’Investissement d’Avenir under Contract ANR-17-EURE0024. Computing time was provided by the HPC-UdS. N.D. acknowledges financial support by Deutsche Forschungsgemeinschaft (DFG) via Collaborative Research Centre SFB 1225 (ISOQUANT) and under German Excellence Strategy EXC-2181/1-390900948 (Heidelberg STRUCTURES Excellence Cluster).
KeyWords: Statistical-mechanics; Cold Atoms; Models; Propagation
DOI: 10.1103/PhysRevB.103.155139

Citations: 5
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