Quantum behavior of a heavy impurity strongly coupled to a Bose gas

Abstract

We investigate the problem of an infinitely heavy impurity interacting with a dilute Bose gas at zero temperature. When the impurity-boson interactions are short ranged, we show that boson-boson interactions induce a quantum blockade effect, where a single boson can effectively block or screen the impurity potential. Since this behavior depends on the quantum granular nature of the Bose gas, it cannot be captured within a standard classical-field description. Using a combination of exact quantum Monte Carlo methods and a truncated basis approach, we show how the quantum correlations between bosons lead to universal few-body bound states and a logarithmically slow dependence of the polaron ground-state energy on the boson-boson scattering length. Moreover, we expose the link between the polaron energy and the spatial structure of the quantum correlations, spanning the infrared to ultraviolet physics.

14 pages, 6 figures. Accepted version

References in corpus (7)

• Variational study of polarons in Bose-Einstein condensates
• The Bose polaron problem: effect of mass imbalance on binding energy
• Universal aspects of a strongly interacting impurity in a dilute Bose condensate
• Fate of the Bose polaron at finite temperature
• Quench Dynamics of the Ideal Bose Polaron at Zero and Nonzero Temperatures
• Dynamical formation of polarons in a Bose-Einstein condensate: A variational approach
• Monte Carlo calculations for Fermi gases in the unitary limit with a zero-range interaction

Cited by in corpus (25)

• Mediated interaction between polarons in a one-dimensional Bose gas
• From Efimov Physics to the Bose Polaron using Gaussian States
• Many-body bound states and induced interactions of charged impurities in a bosonic bath
• Renormalization group study of Bose polarons
• Finite-range effects in the unitary Fermi polaron
• The effect of boson-boson interaction on the Bipolaron formation
• Phase diagram for strong-coupling Bose polarons
• Observation of $1/k^4$-tails after expansion of Bose-Einstein Condensates with impurities
• Medium-induced Interaction Between Impurities in a Bose-Einstein Condensate
• Strongly interacting impurities in a dilute Bose condensate
• Artificial atoms from cold bosons in one dimension
• Analytical approach to the Bose polaron \\ via $q$-deformed Lie algebra
• Variational approach to the two-dimensional Bose polaron
• Modified mean field ansatz for charged polarons in a Bose-Einstein condensate
• Exact results for heavy unitary Bose polarons
• Bosonic Functional Determinant Approach and its Application to Polaron Spectra
• Disorder in order: Localization without randomness in a cold atom system
• Observation of a Halo Trimer in an Ultracold Bose-Fermi Mixture
• A unified theory of strong coupling Bose polarons: From repulsive polarons to non-Gaussian many-body bound states
• Temperature-induced miscibility of impurities in trapped Bose gases
• Self-stabilized Bose polarons
• Repulsive Fermi and Bose Polarons in Quantum Gases
• Polaronic dressing of bound states
• Validity of the Fröhlich model for a mobile impurity in a Bose-Einstein condensate
• Phenomenological model of decaying Bose polarons