Polaron Interactions and Bipolarons in One-Dimensional Bose Gases in the Strong Coupling Regime

• URL: http://arxiv.org/abs/2101.11997v3
• Date: Wed, 1 Sep 2021 11:18:52 GMT
• Title: Polaron Interactions and Bipolarons in One-Dimensional Bose Gases in the Strong Coupling Regime
• Authors: Martin Will, Gregory E. Astrakharchik, Michael Fleischhauer
• Abstract summary: We present a detailed study of heavy polarons in a one-dimensional Bose gas by formulating a non-perturbative theory. We develop an analytic approach for weak boson-boson interactions and arbitrarily strong impurity-boson couplings.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Bose polarons, quasi-particles composed of mobile impurities surrounded by cold Bose gas, can experience strong interactions mediated by the many-body environment and form bipolaron bound states. Here we present a detailed study of heavy polarons in a one-dimensional Bose gas by formulating a non-perturbative theory and complementing it with exact numerical simulations. We develop an analytic approach for weak boson-boson interactions and arbitrarily strong impurity-boson couplings. Our approach is based on a mean-field theory that accounts for deformations of the superfluid by the impurities and in this way minimizes quantum fluctuations. The mean-field equations are solved exactly in Born-Oppenheimer (BO) approximation leading to an analytic expression for the interaction potential of heavy polarons which is found to be in excellent agreement with quantum Monte-Carlo (QMC) results. In the strong-coupling limit the potential substantially deviates from the exponential form valid for weak coupling and has a linear shape at short distances. Taking into account the leading-order Born-Huang corrections we calculate bipolaron binding energies for impurity-boson mass ratios as low as 3 and find excellent agreement with QMC results.

Related papers

• Impurities and polarons in bosonic quantum gases: a review on recent progress [0.0]
  This review describes the field of Bose polarons, arising when mobile impurities are immersed into a bosonic quantum gas. The latter can be realized by a Bose-Einstein condensate (BEC) of ultracold atoms, or of exciton polaritons in a semiconductor.
  arXiv  Detail & Related papers  (2024-10-12T07:44:01Z)
• From angular coefficients to quantum observables: a phenomenological appraisal in di-boson systems [44.99833362998488]
  Motivated by the growing interest in accessing the spin structure of multi-boson processes, we study polarisation and spin-correlation coefficients in di-boson systems. We show that higher-order corrections of QCD and electroweak type, off-shell modelling, and realistic effects such as fiducial selections and neutrino reconstruction are unavoidable.
  arXiv  Detail & Related papers  (2024-09-25T08:30:54Z)
• Impurities in a trapped 1D Bose gas of arbitrary interaction strength: localization-delocalization transition and absence of self-localization [0.0]
  impurity-boson correlations are important even in the limit of weak boson-boson interactions. We calculate the energy of a single polaron formed by a heavy impurity for arbitrary interaction strengths. We numerically determine the polaron-polaron interaction potential in Born-Oppenheimer approximation.
  arXiv  Detail & Related papers  (2024-08-21T11:56:17Z)
• Ground-state Properties and Bogoliubov Modes of a Harmonically Trapped One-Dimensional Quantum Droplet [4.864202986612716]
  We study the stationary and excitation properties of a one-dimensional quantum droplet in a Bose mixture trapped in a harmonic potential. We explicitly show how the spectrum of the excitation is split into discrete modes, and finally taken over by the harmonic trap.
  arXiv  Detail & Related papers  (2023-09-11T05:39:53Z)
• Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $λ\!φ^4$ model [44.99833362998488]
  A quantum simulation of magnetism in trapped-ion systems makes use of the crystal vibrations to mediate pairwise interactions between spins. These interactions can be accounted for by a long-wavelength relativistic theory, where the phonons are described by a coarse-grained Klein-Gordon field. We show that thermal effects, which can be controlled by laser cooling, can unveil this flow through the appearance of thermal masses in interacting QFTs.
  arXiv  Detail & Related papers  (2023-05-10T12:59:07Z)
• A unified theory of strong coupling Bose polarons: From repulsive polarons to non-Gaussian many-body bound states [0.0]
  We show that the interplay of impurity-induced instability and stabilization by repulsive boson-boson interactions results in a discrete set of metastable many-body bound states. This work provides a unified theory of attractive and repulsive Bose polarons on the repulsive side of the Feshbach resonance.
  arXiv  Detail & Related papers  (2023-05-01T14:05:11Z)
• A Hybrid Quantum-Classical Method for Electron-Phonon Systems [40.80274768055247]
  We develop a hybrid quantum-classical algorithm suitable for this type of correlated systems. This hybrid method tackles with arbitrarily strong electron-phonon coupling without increasing the number of required qubits and quantum gates. We benchmark the new method by applying it to the paradigmatic Hubbard-Holstein model at half filling, and show that it correctly captures the competition between charge density wave and antiferromagnetic phases.
  arXiv  Detail & Related papers  (2023-02-20T08:08:51Z)
• Tuning long-range fermion-mediated interactions in cold-atom quantum simulators [68.8204255655161]
  Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior. Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
  arXiv  Detail & Related papers  (2022-03-31T13:32:12Z)
• Analytical approach to the Bose polaron \\ via $q$-deformed Lie algebra [0.0]
  We present a novel approach to the Bose polaron based on the notion of quantum groups, also known as $q$-deformed Lie algebras. We derive its ground state energy in the phonon branch of the Bogoliubov dispersion. Our approach has the potential to open up new avenues in polaron physics by connecting it with seemingly unrelated research topics.
  arXiv  Detail & Related papers  (2022-03-27T16:04:28Z)
• Quantum chaos driven by long-range waveguide-mediated interactions [125.99533416395765]
  We study theoretically quantum states of a pair of photons interacting with a finite periodic array of two-level atoms in a waveguide. Our calculation reveals two-polariton eigenstates that have a highly irregular wave-function in real space.
  arXiv  Detail & Related papers  (2020-11-24T07:06:36Z)
• A multiconfigurational study of the negatively charged nitrogen-vacancy center in diamond [55.58269472099399]
  Deep defects in wide band gap semiconductors have emerged as leading qubit candidates for realizing quantum sensing and information applications. Here we show that unlike single-particle treatments, the multiconfigurational quantum chemistry methods, traditionally reserved for atoms/molecules, accurately describe the many-body characteristics of the electronic states of these defect centers.
  arXiv  Detail & Related papers  (2020-08-24T01:49:54Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.