Low-Energy Properties of a One-dimensional System of Interacting bosons with Boundaries

Abstract

The ground state properties and low-lying excitations of a (quasi) one-dimensional system of longitudinally confined interacting bosons are studied. This is achieved by extending Haldane's harmonic-fluid description to open boundary conditions. The boson density, one-particle density matrix, and momentum distribution are obtained accounting for finite-size and boundary effects. Friedel oscillations are found in the density. Finite-size scaling of the momentum distribution at zero momentum is proposed as a method to obtain from the experiment the exponent that governs phase correlations. The strong correlations between bosons induced by reduced dimensionality and interactions are displayed by a Bijl-Jastrow wave function for the ground state, which is also derived.

Final published version. Minor changes with respect to the previous version

References in corpus (5)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Realization of Bose-Einstein condensates in lower dimensions
• Friedel Oscillations and Charge Density Waves in Chains and Ladders
• Measurement of one-particle correlations and momentum distributions for trapped 1D gases
• Absorption Line Shape of a One-Dimensional Bose Gas

Cited by in corpus (39)

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• Instabilities in binary mixtures of one-dimensional quantum degenerate gases
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• Casimir forces between defects in one-dimensional quantum liquids
• Momentum distribution dynamics of a Tonks-Girardeau gas: Bragg reflections of a quantum many-body wavepacket
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• Dynamics of a Tonks-Girardeau gas released from a hard-wall trap
• Interacting Bose gases in quasi-one dimensional optical lattices
• The 1D interacting Bose gas in a hard wall box
• Dynamics of one-dimensional Bose liquids: Andreev-like reflection at Y-junctions and absence of the Aharonov-Bohm effect
• Decay by tunneling of Bosonic and Fermionic Tonks-Girardeau Gases
• The Inhomogeneous Gaussian Free Field, with application to ground state correlations of trapped 1d Bose gases
• Fermi 1D quantum gas: Luttinger liquid approach and spin-charge separation
• Are the Tonks regimes in the continuum and on the lattice truly equivalent?
• Dynamic correlation functions in one-dimensional quasi-condensates
• The fermionic limit of the delta-function Bose gas: a pseudopotential approach
• A Luttinger Liquid in Box
• Matter-wave diffraction in time with a linear potential
• Bose-glass, superfluid, and rung-Mott phases of hard-core bosons in disordered two-leg ladders
• Atom Fock state preparation by trap reduction
• Quantum fluctuations of a Bose-Josephson junction in a quasi-one-dimensional ring trap
• Bosonization of the interacting Su-Schrieffer-Heeger model
• Vibronic "Rabi resonances" in harmonic and hard-wall ion-traps for arbitrary laser intensity and detuning
• Symplectic tomography of ultracold gases in tight-waveguides
• Phase theory and critical exponents for the Tomonaga-Luttinger model with harmonic confinement
• Low-lying energy levels of a one-dimensional weakly interacting Bose gas under zero boundary conditions
• Tailoring Dynamical Fermionization: Delta kick cooling of a Tonks-Girardeau gas
• Density profile of a semi-infinite one-dimensional Bose gas and bound states of the impurity
• Analysis of the buildup of spatiotemporal correlations and their bounds outside of the light cone
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• Dynamic response of interacting one-dimensional fermions in the harmonic atom trap: Phase response and the inhomogeneous mobility
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• Quantum Generalized Hydrodynamics of the Tonks-Girardeau gas: density fluctuations and entanglement entropy
• Acoustic modes in He I and He II in the presence of an alternating electric field
• Dispersion law for a one-dimensional weakly interacting Bose gas with zero boundary conditions
• Friedel oscillations in one-dimensional 4He
• The density of a one-dimensional Bose gas far from an impurity