Field-theoretical approach to the Casimir-like interaction in a one-dimensional Bose gas
arXiv:1904.12045 · doi:10.1103/PhysRevB.99.205414
Abstract
We study the fluctuation-induced interaction between two impurities in a weakly-interacting one-dimensional Bose gas using the field theoretical approach. At separations between impurities shorter and of the order of the healing length of the system, the induced interaction has a classical origin and behaves exponentially. At separations longer than the healing length, the interaction is of a quantum origin and scales as the third power of the inverse distance. Finite temperature destroys the quasi-long-range order of the Bose gas and, accordingly, the induced interaction becomes exponentially suppressed beyond the thermal length. We obtain analytical expressions for the induced interaction at zero and finite temperature that are valid at arbitrary distances. We discuss experimental realizations as well as possible formation of bound states of two impurities, known as bipolarons.
arXiv comment14 pages, 1 figure; accepted to Physical Review B
References in corpus (27)
- Many-Body Physics with Ultracold Gases
- Precision Measurement of the Casimir Force from 0.1 to 0.9 microns
- Measurement of the Casimir force between parallel metallic surfaces
- The Casimir force between real materials: experiment and theory
- The `Friction' of Vacuum, and other Fluctuation-Induced Forces
- Theory of the Weakly Interacting Bose Gas
- One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
- Probing quantum and thermal noise in an interacting many-body system
- Pair correlations in a finite-temperature 1D Bose gas
- Phonon exchange in dilute Fermi-Bose mixtures: tailoring the Fermi-Fermi interaction
- Bipolarons in a Bose-Einstein Condensate
- Casimir forces between defects in one-dimensional quantum liquids
- Coalescence of Two Impurities in a Trapped One-dimensional Bose Gas
- Casimir-like force arising from quantum fluctuations in a slow-moving dilute Bose-Einstein condensate
- Bloch oscillations in one-dimensional spinor gas
- Interaction of Impurity Atoms in Bose-Einstein-Condensates
- Phonon-mediated Casimir interaction between mobile impurities in one-dimensional quantum liquids
- Bipolarons and multi-polarons consisting of impurity atoms in a Bose-Einstein condensate
- Casimir forces and quantum friction from Ginzburg radiation in atomic BECs
- Oscillating Casimir force between impurities in one-dimensional Fermi liquids
- The Casimir-like effect in a one-dimensional Bose gas
- Thermodynamic behavior of a one-dimensional Bose gas at low temperature
- Low-energy excitations of a one-dimensional Bose gas with weak contact repulsion
- Indirect forces between impurities in one-dimensional quantum liquids
- Decay of Bogoliubov excitations in one-dimensional Bose gases
- Phonon-mediated Casimir interaction between finite mass impurities
- Impurity crystal in a Bose-Einstein condensate
Cited by in corpus (22)
- Polaron Interactions and Bipolarons in One-Dimensional Bose Gases in the Strong Coupling Regime
- Critical Casimir Effect: Exact Results
- Induced correlations between impurities in a one-dimensional quenched Bose gas
- The Casimir-like effect in a one-dimensional Bose gas
- Mediated interaction between polarons in a one-dimensional Bose gas
- Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas
- Universal van der Waals Force Between Heavy Polarons in Superfluids
- Interactions mediated by atoms, photons, electrons, and excitons
- Beyond-Luttinger-Liquid thermodynamics of a one-dimensional contact repulsive Bose gas
- Fluctuation-induced potential for an impurity in a semi-infinite one-dimensional Bose gas
- Analytic thermodynamic properties of the Lieb-Liniger gas
- Crossover from attractive to repulsive induced interactions and bound states of two distinguishable Bose polarons
- Correlation properties of a one-dimensional repulsive Bose gas at finite temperature
- Microscopic theory of the friction force exerted on a quantum impurity in one-dimensional quantum liquids
- Collective excitations of a Bose-Einstein condensate of hard-core bosons and their mediated interactions: from two-body bound states to mediated superfluidity
- Bound impurities in a one-dimensional Bose lattice gas: low-energy properties and quench-induced dynamics
- Density profile of a semi-infinite one-dimensional Bose gas and bound states of the impurity
- Impurities in a trapped 1D Bose gas of arbitrary interaction strength: localization-delocalization transition and absence of self-localization
- Two-dimensional Lorentz-violating Casimir effect
- Effective approaches to the dynamical properties of two distinguishable Bose polarons
- Exact results for the Casimir force of a three-dimensional model of relativistic Bose gas in a film geometry
- Effective two- and three-body interactions between dressed impurities in a tilted double-well potential