Commensurate supersolids and re-entrant transitions in an extended Bose-Hubbard ladder

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Hauptverfasser: Madhusudan, Ashwath N, Santra, Gopal Chandra, Kaur, Inderpreet, Li, Weibin, Nath, Rejish
Format: Preprint
Veröffentlicht: 2024
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author Madhusudan, Ashwath N
Santra, Gopal Chandra
Kaur, Inderpreet
Li, Weibin
Nath, Rejish
author_facet Madhusudan, Ashwath N
Santra, Gopal Chandra
Kaur, Inderpreet
Li, Weibin
Nath, Rejish
contents We investigate the ground state phases of an extended Bose-Hubbard ladder of unit filling via the density-matrix-renormalization-group method and, in particular, the effect of rung-hoppings. In contrast to a single-chain, a commensurate supersolid emerges, and based on the Luttinger parameter, we classify them into two types. The latter leads to a reentrant gapless behavior as the onsite interaction is increased while keeping all other parameters intact. A reentrant gapped transition is also found as a function of nearest-neighbor interactions. Further, we show that the string order characterizing the Haldane phase vanishes for a finite inter-chain hopping amplitude, however small it is. Finally, we propose two experimental platforms to observe our findings, using either dipolar atoms or polar molecules and Rydberg admixed atoms.
format Preprint
id arxiv_https___arxiv_org_abs_2407_20107
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Commensurate supersolids and re-entrant transitions in an extended Bose-Hubbard ladder
Madhusudan, Ashwath N
Santra, Gopal Chandra
Kaur, Inderpreet
Li, Weibin
Nath, Rejish
Quantum Gases
Quantum Physics
We investigate the ground state phases of an extended Bose-Hubbard ladder of unit filling via the density-matrix-renormalization-group method and, in particular, the effect of rung-hoppings. In contrast to a single-chain, a commensurate supersolid emerges, and based on the Luttinger parameter, we classify them into two types. The latter leads to a reentrant gapless behavior as the onsite interaction is increased while keeping all other parameters intact. A reentrant gapped transition is also found as a function of nearest-neighbor interactions. Further, we show that the string order characterizing the Haldane phase vanishes for a finite inter-chain hopping amplitude, however small it is. Finally, we propose two experimental platforms to observe our findings, using either dipolar atoms or polar molecules and Rydberg admixed atoms.
title Commensurate supersolids and re-entrant transitions in an extended Bose-Hubbard ladder
topic Quantum Gases
Quantum Physics
url https://arxiv.org/abs/2407.20107