Evolution of static and dynamical density correlations in a one-dimensional soft-core gas from the Tonks-Girardeau limit to a clustering fluid
arXiv:2106.11832 · doi:10.1103/PhysRevA.104.053301
Abstract
Repulsive soft-core atomic systems may undergo clustering if their density is high enough that core overlap is unavoidable. In one-dimensional quantum systems, it has been shown that this instability triggers a transition from a Luttinger liquid to various cluster Luttinger liquids. Here, we focus on the Luttinger liquid regime and theoretically study the evolution of key observables related to density fluctuations, that manifest a striking dependence on density. We tune the interaction so that the low-density regime corresponds to a Tonks-Girardeau gas, and show that as the density is increased the system departs more and more from Tonks-Girardeau behavior, displaying a much larger compressibility as well as rotonic excitations that finally drive the clustering transition. We compare various theoretical approaches, which are accurate in different regimes. Using quantum Monte Carlo methods and analytic continuation as a benchmark, we investigate the regime of validity of the mean-field Bogoliubov and the real-time multiconfiguration time-dependent Hartree-Fock approaches. Part of the behavior that we describe should be observable in ultracold Rydberg-dressed gases, provided that system losses are prevented.
arXiv comment9 pages, 8 figures
References in corpus (45)
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Three-dimensional Roton-Excitations and Supersolid formation in Rydberg-excited Bose-Einstein Condensates
- Many-body interferometry of a Rydberg-dressed spin lattice
- Entangling Atomic Spins with a Strong Rydberg-Dressed Interaction
- Strongly correlated gases of Rydberg-dressed atoms: quantum and classical dynamics
- Exact Criterion for Determining Clustering vs. Reentrant Melting Behavior for Bounded Interaction Potentials
- Coherent many-body spin dynamics in a long-range interacting Ising chain
- An experimental and theoretical guide to strongly interacting Rydberg gases
- Fluid and solid phases of the Gaussian core model
- Beyond Tonks-Girardeau: strongly correlated regime in quasi-one-dimensional Bose gases
- Dynamical density-density correlations in the one-dimensional Bose gas
- Excitation spectrum of a supersolid
- Rydberg dressing: Understanding of collective many-body effects and implications for experiments
- Defect-induced supersolidity with soft-core bosons
- Transverse-Field Ising Dynamics in a Rydberg-Dressed Atomic Gas
- Ab-initio low-energy dynamics of superfluid and solid 4He
- The multiconfigurational time-dependent Hartree for fermions: Implementation, exactness and application to few-fermion tunneling to open space
- The multiconfigurational time-dependent Hartree method for bosons with internal degrees of freedom: Theory and composite fragmentation of multi-component Bose-Einstein condensates
- Quench Dynamics of a Fermi Gas with Strong Non-Local Interactions
- Computer Assembly of Cluster-Forming Amphiphilic Dendrimers
- Cluster Luttinger Liquids of Rydberg-dressed Atoms in Optical Lattices
- MCTDH-X: The multiconfigurational time-dependent Hartree method for indistinguishable particles software
- Exact ground state Monte Carlo method for Bosons without importance sampling
- Microscopically-resolved simulations prove the existence of soft cluster crystals
- One-dimensional liquid He: dynamical properties beyond Luttinger liquid theory
- Ground-state energy and excitation spectrum of the Lieb-Liniger model : accurate analytical results and conjectures about the exact solution
- Superglass phase of interaction-blockaded gases on a triangular lattice
- Supersolid structure and excitation spectrum of soft-core bosons in 3D
- Cluster Luttinger liquids and emergent supersymmetric conformal critical points in the one-dimensional soft-shoulder Hubbard model
- Statistical and computational intelligence approach to analytic continuation in Quantum Monte Carlo
- Rydberg dressing of a one-dimensional Bose-Einstein condensate
- Dynamical structure factor of one-dimensional hard rods
- Ground state and excitation properties of soft-core bosons
- Freezing of soft-core bosons at zero temperature: A variational theory
- Ground-State Properties of a One-Dimensional System of Hard Rods
- Quantum Critical Behavior of One-Dimensional Soft Bosons in the Continuum
- Probing the existence of phase transitions in one-dimensional fluids of penetrable particles
- Emergence of Metallic Quantum Solid Phase in a Rydberg-Dressed Fermi Gases
- Cluster phases of penetrable rods on a line
- Clusterization of weakly-interacting bosons in one dimension: an analytic study at zero temperature
- -wave superfluidity from repulsive interaction in Rydberg-dressed Fermi gas
- Microscopic study of static and dynamical properties of dilute one-dimensional soft bosons
- Emergence of an Ising critical regime in the clustering of 1D soft matter revealed through string variables
- Rydberg-dressed Fermi liquid: correlations and signatures of droplet crystallization
- Static density response of one-dimensional soft bosons across the clustering transition