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

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...

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Hauptverfasser: Botzung, Thomas (VerfasserIn) , Hagenmüller, D. (VerfasserIn) , Masella, G. (VerfasserIn) , Dubail, J. (VerfasserIn) , Defenu, Nicolò (VerfasserIn) , Trombettoni, Andrea (VerfasserIn) , Pupillo, G. (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 20 April 2021
In: Physical review
Year: 2021, Jahrgang: 103, Heft: 15, Pages: 1-12
ISSN:2469-9969
DOI:10.1103/PhysRevB.103.155139
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevB.103.155139
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevB.103.155139
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Verfasserangaben:T. Botzung, D. Hagenmüller, G. Masella, J. Dubail, N. Defenu, A. Trombettoni, and G. Pupillo

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520 |a 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. 
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