One-Body Density Matrix and Momentum Distribution of Strongly Interacting One-Dimensional Spinor Quantum Gases

Abstract

The one-body density matrix (OBDM) of a strongly interacting spinor quantum gas in one dimension can be written as a summation of products of spatial and spin parts. We find that there is a remarkable connection between the spatial part and the OBDM of a spinless hard-core anyon gas. This connection allows us to efficiently calculate the OBDM of the spinor system with particle numbers much larger than what was previously possible. Given the OBDM, we can easily calculate the momentum distribution of the spinor system, which again is related to the momentum distribution of the hard-core ayone gas.

7 pages, 3 figures

References in corpus (22)

• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• The 1D interacting anyon gas: low-energy properties and Haldane exclusion statistics
• Exact Solution of Strongly Interacting Quasi-One-Dimensional Spinor Bose Gases
• Exact solution for infinitely strongly interacting Fermi gases in tight waveguides
• Anyon-fermion mapping and applications to ultracold gases in tight waveguides
• Universal properties of hard-core bosons confined on one-dimensional lattices
• Strongly Interacting Quantum Gases in One-Dimensional Traps
• Correlation functions of one-dimensional anyonic fluids
• Bloch oscillations in one-dimensional spinor gas
• Ground-state properties of hard core bosons in one-dimensional harmonic traps
• Correlation Functions of One-Dimensional Lieb-Liniger Anyons
• Ground-state properties of one-dimensional anyon gases
• Generalized exclusion statistics and degenerate signature of strongly interacting anyons
• Bethe Ansatz for 1D interacting anyons
• One-particle density matrix and momentum distribution function of one-dimensional anyon gases
• Entanglement properties and moment distributions of a system of hard-core anyons on a ring
• One-Dimensional Impenetrable Anyons in Thermal Equilibrium. I. Anyonic Generalization of Lenard's Formula
• One-Dimensional Impenetrable Anyons in Thermal Equilibrium. II. Determinant Representation for the Dynamic Correlation Functions
• Spin-chain model for strongly interacting one-dimensional Bose-Fermi mixtures
• One-body reduced density matrix of trapped impenetrable anyons in one dimension
• Ground state properties of hard-core anyons in a harmonic potential
• Comparing numerical and analytical approaches to strongly interacting two-component mixtures in one dimensional traps

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• Emergence of junction dynamics in a strongly interacting Bose mixture
• Generalized Bose-Fermi mapping and strong coupling ansatz wavefunction for one dimensional strongly interacting spinor quantum gases
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