Complex-valued in-medium potential between heavy impurities in ultracold atoms

Abstract

We formulate the induced potential in a finite temperature cold atomic medium between two heavy impurities, or polarons, which is shown to be \textit{complex-valued} in general. The imaginary part of the complex-valued potential describes a decoherence effect, and thus, the resulting Schrödinger equation for the two polarons acquires a non-Hermitian term. We apply the developed formulation to two representative cases of polarons interacting with medium particles through the $s$-wave contact interaction: (i) the normal phase of single-component (i.e., spin-polarized) fermions using the fermionic field theory, and (ii) a superfluid phase using the superfluid effective field theory, which is valid either for a Bose-Einstein condensate (BEC) of a single-component Bose gas or for the BEC-BCS crossover in two-component fermions at a low-energy regime. Computing the leading-order term, the imaginary part of the potential in both cases is found to show a universal $r^{-2}$ behavior at long distance. We propose three experimental ways to observe the effects of the universal imaginary potential in cold atoms.

16 pages, version accepted for publication in Phys. Rev. A

References in corpus (49)

• Quantum Computing in the NISQ era and beyond
• Exceptional Topology of Non-Hermitian Systems
• Noisy intermediate-scale quantum (NISQ) algorithms
• Topological phases of non-Hermitian systems
• Universality in Few-body Systems with Large Scattering Length
• Pairing and Phase Separation in a Polarized Fermi Gas
• Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
• Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
• Metastability and Coherence of Repulsive Polarons in a Strongly Interacting Fermi Mixture
• Real-time static potential in hot QCD
• Observation of Attractive and Repulsive Polarons in a Bose-Einstein Condensate
• Attractive and repulsive Fermi polarons in two dimensions
• Bose polarons in the strongly interacting regime
• Static quark-antiquark pairs at finite temperature
• Universal phase diagram of a strongly interacting Fermi gas with unbalanced spin populations
• Polarons, Dressed Molecules, and Itinerant Ferromagnetism in ultracold Fermi gases
• Froehlich Polaron and Bipolaron: Recent Developments
• Ultrafast many-body interferometry of impurities coupled to a Fermi sea
• General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
• Itinerant Ferromagnetism in a Fermi Gas of Ultracold Atoms
• Repulsive Fermi polarons in a resonant mixture of ultracold ${}^6$Li atoms
• Real and imaginary-time $Q\bar{Q}$ correlators in a thermal medium
• Deformation of a Trapped Fermi Gas with Unequal Spin Populations
• Complex Heavy-Quark Potential at Finite Temperature from Lattice QCD
• Ultra-cold Polarized Fermi Gases
• Bose polarons near quantum criticality
• Quantum dynamics of ultracold Bose polarons
• Species-specific optical lattices
• Bipolarons in a Bose-Einstein Condensate
• Boiling a Unitary Fermi Liquid
• Non-equilibrium quantum dynamics and formation of the Bose polaron
• Fermion-Mediated Interactions Between Bosonic Atoms
• Stochastic potential and quantum decoherence of heavy quarkonium in the quark-gluon plasma
• Analyzing a Bose polaron across resonant interactions
• Heavy quark bound states in a quark-gluon plasma: dissociation and recombination
• Landau Effective Interaction between Quasiparticles in a Bose-Einstein Condensate
• Dynamical dissociation of quarkonia by wave function decoherence
• Universality of an impurity in a Bose-Einstein condensate
• State-dependent optical lattices for the strontium optical qubit
• Two impurities in a Bose-Einstein condensate: from Yukawa to Efimov attracted polarons
• Mediated interactions between Fermi polarons and the role of impurity quantum statistics
• Casimir interaction among heavy fermions in the BCS-BEC crossover
• Pauli Blocking Effect on Efimov States Near Feshbach Resonance
• Decoherence of localized spins interacting via RKKY interaction
• Scattering of two heavy Fermi polarons: resonances and quasibound states
• Universal van der Waals Force Between Heavy Polarons in Superfluids
• Non-equilibrium charmonium regeneration in strongly coupled quark-gluon plasma
• Medium-induced Interaction Between Impurities in a Bose-Einstein Condensate
• BEC-Polaron gas in a boson-fermion mixture : a many-body extension of Lee-Low-Pines theory