Journal
PHYSICAL REVIEW B
Volume 103, Issue 15, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.103.155139
Keywords
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Funding
- French National Research Agency (ANR) - ERA-NET QuantERA - Projet RouTe [ANR-18QUAN-0005-01]
- LabEx NIE
- Institut Universitaire de France (IUF)
- USIAS
- ANR through the Programme d'Investissement d'Avenir [ANR-17-EURE0024]
- Deutsche Forschungsgemeinschaft (DFG) via Collaborative Research Centre [SFB 1225]
- Deutsche Forschungsgemeinschaft (DFG) via German Excellence Strategy [EXC-2181/1-390900948]
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This study investigates the ground state properties of one-dimensional hard-core bosons interacting via a variable long-range potential using the density matrix renormalization group. It is found that rescaling the interaction potential with Kac's prescription has a profound influence on the low-energy properties in the thermodynamic limit, leading to a new metallic phase. A scheme for observing this new phase using cavity-mediated long-range interactions with cold atoms is discussed.
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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