Nonlocal order parameter of pair superfluids

Order parameters represent a fundamental resource to characterize quantum matter. We show that pair superfluids can be rigorously defined in terms of a nonlocal order parameter, named odd parity, which derivation is experimentally accessible by local density measurements. As a case of study, we firs...

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Main Author: Nitya Cuzzuol, Luca Barbiero, Arianna Montorsi
Format: Article
Language:English
Published: SciPost 2025-02-01
Series:SciPost Physics Core
Online Access:https://scipost.org/SciPostPhysCore.8.1.020
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author Nitya Cuzzuol, Luca Barbiero, Arianna Montorsi
author_facet Nitya Cuzzuol, Luca Barbiero, Arianna Montorsi
author_sort Nitya Cuzzuol, Luca Barbiero, Arianna Montorsi
collection DOAJ
description Order parameters represent a fundamental resource to characterize quantum matter. We show that pair superfluids can be rigorously defined in terms of a nonlocal order parameter, named odd parity, which derivation is experimentally accessible by local density measurements. As a case of study, we first investigate a constrained Bose-Hubbard model at different densities, both in one and two spatial dimensions. Here, our analysis finds pair superfluidity for relatively strong attractive interactions. The odd parity operator acts as the unique order parameter for such phase irrespectively to the density of the system and its dimensionality in regimes of total particle number conservation. In order to enforce our finding, we confirm the generality of our approach also on a two-component Bose-Hubbard Hamiltonian, which experimental realization represents a timely topic in ultracold atomic systems. Our results shed new light on the role of correlated density fluctuations in pair superfluids. In addition, they provide a powerful tool for the experimental detection of such exotic phases and the characterization of their transition to the atomic superfluid phase.
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spelling doaj-art-57548fbb75fc4182b816f7b9d1b41bea2025-02-11T11:04:28ZengSciPostSciPost Physics Core2666-93662025-02-018102010.21468/SciPostPhysCore.8.1.020Nonlocal order parameter of pair superfluidsNitya Cuzzuol, Luca Barbiero, Arianna MontorsiOrder parameters represent a fundamental resource to characterize quantum matter. We show that pair superfluids can be rigorously defined in terms of a nonlocal order parameter, named odd parity, which derivation is experimentally accessible by local density measurements. As a case of study, we first investigate a constrained Bose-Hubbard model at different densities, both in one and two spatial dimensions. Here, our analysis finds pair superfluidity for relatively strong attractive interactions. The odd parity operator acts as the unique order parameter for such phase irrespectively to the density of the system and its dimensionality in regimes of total particle number conservation. In order to enforce our finding, we confirm the generality of our approach also on a two-component Bose-Hubbard Hamiltonian, which experimental realization represents a timely topic in ultracold atomic systems. Our results shed new light on the role of correlated density fluctuations in pair superfluids. In addition, they provide a powerful tool for the experimental detection of such exotic phases and the characterization of their transition to the atomic superfluid phase.https://scipost.org/SciPostPhysCore.8.1.020
spellingShingle Nitya Cuzzuol, Luca Barbiero, Arianna Montorsi
Nonlocal order parameter of pair superfluids
SciPost Physics Core
title Nonlocal order parameter of pair superfluids
title_full Nonlocal order parameter of pair superfluids
title_fullStr Nonlocal order parameter of pair superfluids
title_full_unstemmed Nonlocal order parameter of pair superfluids
title_short Nonlocal order parameter of pair superfluids
title_sort nonlocal order parameter of pair superfluids
url https://scipost.org/SciPostPhysCore.8.1.020
work_keys_str_mv AT nityacuzzuollucabarbieroariannamontorsi nonlocalorderparameterofpairsuperfluids