Universal Dimerized Quantum Droplets in a One-Dimensional Lattice

Morera, Ivan; Astrakharchik, G. E.; Polls, A.; Juliá-Dı́az, B.

doi:10.1103/physrevlett.126.023001

Cited by 39 publications

(21 citation statements)

References 43 publications

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“…Quantum Monte-Carlo approaches [24,25] revealed that only close to the balance point of MF repulsion and attraction beyond LHY correlations are appreciable. Additionally, the droplet phase diagram in 1D optical lattices has been discussed within a density matrix renormalization group method explicating a transition from a Mott-insulator to a pair superfluid [32,33].…”

Section: Introductionmentioning

confidence: 99%

Formation and quench of homonuclear and heteronuclear quantum droplets in one dimension

Mistakidis,

Mithun,

Kevrekidis

et al. 2021

Preprint

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We exemplify the impact of beyond Lee-Huang-Yang (LHY) physics, especially due to intercomponent correlations, in the ground state and the quench dynamics of one-dimensional so-called quantum droplets using an ab-initio nonperturbative approach. It is found that the droplet Gaussian-shaped configuration arising for intercomponent attractive couplings becomes narrower for stronger intracomponent repulsion and transits towards a flat-top structure either for larger particle numbers or weaker intercomponent attraction. Additionally, a harmonic trap prevents the flat-top formation. At the balance point where mean-field interactions cancel out, we show that quantum fluctuations prevent the collapse of LHY fluids for larger atom numbers and a correlation hole is present in the few particle limit of these fluids as well as for flat-top droplets. Introducing mass-imbalance, droplets experience intercomponent mixing and excitation signatures are identified for larger masses. Monitoring the droplet expansion (breathing motion) upon considering interaction quenches to stronger (weaker) attractions we explicate that beyond LHY correlations result in a reduced velocity (breathing frequency). Strikingly, the droplets feature two-body anti-correlations (correlations) at the same position (longer distances). Our findings pave the way for probing correlation-induced phenomena of droplet dynamics in current ultracold atom experiments.

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Section: Introductionmentioning

confidence: 99%

Formation and quench of homonuclear and heteronuclear quantum droplets in one dimension

Mistakidis,

Mithun,

Kevrekidis

et al. 2021

Preprint

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“…Lattice bosons with dipolar interactions [41,42] and mixtures [43,44] have been proposed for implementing various types of extended Hubbard models [45]. While currently for dipolar gases and bosonic mixtures the challenge is to reach appreciable interactions beyond the nearest neighbour, cavity-mediated interactions are instead naturally strong at large distances.…”

mentioning

confidence: 99%

Light-induced quantum droplet phases of lattice bosons in multimode cavities

Karpov,

Piazza

2021

Preprint

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Multimode optical cavities can be used to implement interatomic interactions which are highly tunable in strength and range. For bosonic atoms trapped in an optical lattice, cavity-mediated interactions compete with the short-range interatomic repulsion, which we study using an extended Bose-Hubbard model. Already in a single-mode cavity, where the corresponding interaction has an infinite range, a rich phase diagram has been experimentally observed, featuring density-wave and supersolid self-organized phases in addition to the usual superfluid and Mott insulator. Here we show that, for any finite range of the cavity-mediated interaction, quantum self-bound droplets dominate the ground state phase diagram. Their size and in turn density is not externally fixed but rather emerges from the competition between local repulsion and finite-range attraction. Therefore, the phase diagram becomes very rich, featuring both compressible superfluid/supersolid as well as incompressible Mott and density-wave droplets. Additionally, we observe droplets with a compressible core and incompressible outer shells.

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“…Introduction. Recent advances in the preparation, manipulation and observation of ultracold atomic droplets and liquids [1][2][3][4][5][6] have sparked renewed interest in the physics of these systems [7][8][9][10][11][12][13][14][15][16][17][18][19]. This is more so due to their low densities and temperatures, allowing universal low-energy descriptions that are independent of the short-distance details of the relevant interactions [20].…”

mentioning

confidence: 99%

“…In the two-body sector, the simplest EFT including scattering length and both physical and effective ranges has been recently used to describe a one-dimensional dimerized liquid in an optical lattice [16]. This system is typically claimed to be equivalent, at low energies, with a theoretically simpler EFT that includes the two-body scattering length and a three-body contact interaction [28,29], the latter being an emergent property due to three-body processes with two-body interactions that occur off the energy shell [30,31].…”

mentioning

confidence: 99%

Quantum liquids and droplets with low-energy interactions in one dimension

Morera,

Juliá-Díaz,

Valiente

2021

Preprint

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We consider interacting one-dimensional bosons in the universal low-energy regime. The interactions consist of a combination of attractive and repulsive parts that can stabilize quantum gases, droplets and liquids. In particular, we study the role of effective three-body repulsion, in systems with weak attractive pairwise interactions. Its low-energy description is often argued to be equivalent to a model including only two-body interactions with non-zero range. Here, we show that, at zero temperature, the equations of state in both theories agree quantitatively at low densities for overall repulsion, in the gas phase, as can be inferred from the S-matrix formulation of statistical mechanics. However, this agreement is absent in the attractive regime, where universality only occurs in the long-distance properties of quantum droplets. We develop analytical tools to investigate the properties of the theory, and obtain astounding agreement with exact numerical calculations using the density-matrix renormalization group.

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Universal Dimerized Quantum Droplets in a One-Dimensional Lattice

Cited by 39 publications

References 43 publications

Formation and quench of homonuclear and heteronuclear quantum droplets in one dimension

Formation and quench of homonuclear and heteronuclear quantum droplets in one dimension

Light-induced quantum droplet phases of lattice bosons in multimode cavities

Quantum liquids and droplets with low-energy interactions in one dimension

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