dorsal/arxiv
View SchemaQuantum Monte Carlo study of systems interacting via long-range interactions mediated by a cavity
| Authors | Marta Domínguez-Navarro, Abel Rojo-Francàs, Bruno Juliá-Díaz, Grigori E. Astrakharchik |
|---|---|
| Categories | |
| ArXiv ID | 2601.10301vv1 |
| URL | https://arxiv.org/abs/2601.10301 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We study one-dimensional quantum gases in continuous space with cavity-mediated infinite-range interactions using variational and diffusion Monte Carlo methods. Starting from the exact two-body solution, we construct a non-translationally invariant Jastrow wavefunction that accurately captures the spatial structure induced by the cavity field and provides an efficient many-body ansatz for both bosonic and fermionic systems. We analize properties of three characteristic quantum systems, subject to long-range interactions: (i) ideal Bose gas (ii) interacting Bose gas (iii) ideal Fermi gas. In the absence of short-range interactions, we identify a crossover from a stable, weakly modulated phase realized for repulsive interactions to a delocalized bound state for attractive interactions, marked by clustering, loss of superfluidity, and the absence of a thermodynamic limit. Introducing short-range repulsion, either through contact interactions or fermionic statistics, leads to the formation of a mesoscopic gas-like regime that disappears in the thermodynamic limit. A qualitative phase diagram is proposed to illustrate the combined effects of short- and long-range interactions, highlighting the emergence of distinct regimes with characteristic structural properties.
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"abstract": "We study one-dimensional quantum gases in continuous space with cavity-mediated infinite-range interactions using variational and diffusion Monte Carlo methods. Starting from the exact two-body solution, we construct a non-translationally invariant Jastrow wavefunction that accurately captures the spatial structure induced by the cavity field and provides an efficient many-body ansatz for both bosonic and fermionic systems. We analize properties of three characteristic quantum systems, subject to long-range interactions: (i) ideal Bose gas (ii) interacting Bose gas (iii) ideal Fermi gas. In the absence of short-range interactions, we identify a crossover from a stable, weakly modulated phase realized for repulsive interactions to a delocalized bound state for attractive interactions, marked by clustering, loss of superfluidity, and the absence of a thermodynamic limit. Introducing short-range repulsion, either through contact interactions or fermionic statistics, leads to the formation of a mesoscopic gas-like regime that disappears in the thermodynamic limit. A qualitative phase diagram is proposed to illustrate the combined effects of short- and long-range interactions, highlighting the emergence of distinct regimes with characteristic structural properties.",
"arxiv_id": "2601.10301",
"authors": [
"Marta Dom\u00ednguez-Navarro",
"Abel Rojo-Franc\u00e0s",
"Bruno Juli\u00e1-D\u00edaz",
"Grigori E. Astrakharchik"
],
"categories": [
"cond-mat.quant-gas"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Quantum Monte Carlo study of systems interacting via long-range interactions mediated by a cavity",
"url": "https://arxiv.org/abs/2601.10301",
"version": "v1"
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