Lieb-Liniger model of a dissipation-induced Tonks-Girardeau gas

Abstract

We show that strong inelastic interactions between bosons in one dimension create a Tonks-Girardeau gas, much as in the case of elastic interactions. We derive a Markovian master equation that describes the loss caused by the inelastic collisions. This yields a loss rate equation and a dissipative Lieb-Liniger model for short times. We obtain an analytic expression for the pair correlation function in the limit of strong dissipation. Numerical calculations show how a diverging dissipation strength leads to a vanishing of the actual loss rate and renders an additional elastic part of the interaction irrelevant.

References in corpus (5)

• Strong dissipation inhibits losses and induces correlations in cold molecular gases
• Dissipation induced Tonks-Girardeau gas in an optical lattice
• Feshbach resonances in ultracold atomic and molecular collisions: threshold behaviour and suppression of poles in scattering lengths
• Collisional decay of 87Rb Feshbach molecules at 1005.8 G
• Dissociation of Feshbach Molecules into Different Partial Waves

Cited by in corpus (32)

• Quantum fluids of light
• Quantum trajectories and open many-body quantum systems
• Engineered Dissipation for Quantum Information Science
• Dissipation induced Tonks-Girardeau gas in an optical lattice
• Dissipative Dynamics and Phase Transitions in Fermionic Systems
• Universal properties of dissipative Tomonaga-Luttinger liquids: Case study of a non-Hermitian XXZ spin chain
• Non-Hermitian skin effect in one-dimensional interacting Bose gas
• The one-dimensional Bose gas with strong two-body losses: the effect of the harmonic confinement
• Combination of a magnetic Feshbach resonance and an optical bound-to-bound transition
• Universal description of dissipative Tomonaga-Luttinger liquids with SU($N$) spin symmetry: Exact spectrum and critical exponents
• Many-Body Open Quantum Systems
• Exactly solvable model of two trapped quantum particles interacting via finite-range soft-core interactions
• Effect of quantum jumps on non-Hermitian system
• Reactive collisions in confined geometries
• Complex contact interaction for systems with short-range two-body loss
• Photonic lattice simulation of dissipation-induced correlations in bosonic systems
• Master equation approach for interacting slow- and stationary-light polaritons
• Two-body recombination in a quantum mechanical lattice gas: Entropy generation and probing of short-range magnetic correlations
• Loss induced collective mode in one-dimensional Bose gases
• Universality and two-body losses: lessons from the effective non-Hermitian dynamics of two particles
• Repulsive dynamics of strongly attractive one-dimensional quantum gases
• Super-Tonks-Girardeau Quench in the Extended Bose-Hubbard Model
• Breakdown of Linear Spin-Wave Theory in a Non-Hermitian Quantum Spin Chain
• Topological extension including quantum jump
• Dissipative Superfluidity in a Molecular Bose-Einstein Condensate
• Local Non-Hermitian Hamiltonian Formalism for Dissipative Fermionic Systems and Loss-Induced Population Increase in Fermi Superfluids
• Entanglement Generation and Dynamics for a Bose-Hubbard model in a Double-Well Potential
• Eightfold way to dark states in SU(3) cold gases with two-body losses
• Adiabatic Quantum Zeno Dynamics of Bosonic Atom Pairs with Large Inelastic Losses
• Breakdown of the Meissner effect at the zero exceptional point in non-Hermitian two-band BCS model
• Hall conductance of a non-Hermitian two-band system with k-dependent decay rates
• $\mathrm{SU}(3)$ Fermi-Hubbard gas with three-body losses: symmetries and dark states