SciPost Physics

SciPost Phys. 6, 010 (2019) · published 22 January 2019

• doi: 10.21468/SciPostPhys.6.1.010
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Abstract

We study entanglement and squeezing of two uncoupled impurities immersed in a Bose-Einstein condensate. We treat them as two quantum Brownian particles interacting with a bath composed of the Bogoliubov modes of the condensate. The Langevin-like quantum stochastic equations derived exhibit memory effects. We study two scenarios: (i) In the absence of an external potential, we observe sudden death of entanglement; (ii) In the presence of an external harmonic potential, entanglement survives even at the asymptotic time limit. Our study considers experimentally tunable parameters.

• Keiler et al., Polarons and their induced interactions in highly imbalanced triple mixtures
  Phys. Rev. A 104, L031301 (2021) [Crossref]
• Sarkar et al., Interspecies entanglement with impurity atoms in a lattice gas
  New J. Phys. 22, 083017 (2020) [Crossref]
• Gao et al., Magnetic-monopole-induced polarons in atomic superlattices
  Phys. Rev. A 107, 013312 (2023) [Crossref]
• Henriet, Environment-induced synchronization of two quantum oscillators
  Phys. Rev. A 100, 022119 (2019) [Crossref]
• Tajima et al., Collisional dynamics of polaronic clouds immersed in a Fermi sea
  Phys. Rev. A 102, 051302 (2020) [Crossref]
• Theel et al., Counterflow dynamics of two correlated impurities immersed in a bosonic gas
  Phys. Rev. A 105, 053314 (2022) [Crossref]
• Isaule et al., Bound impurities in a one-dimensional Bose lattice gas: Low-energy properties and quench-induced dynamics
  SciPost Phys. Core 7, 049 (2024) [Crossref]
• Khan et al., Quantum dynamics of a Bose polaron in a d -dimensional Bose-Einstein condensate
  Phys. Rev. A 103, 023303 (2021) [Crossref]
• Santiago-García et al., Collective excitations of a Bose–Einstein condensate of hard-core bosons and their mediated interactions: from two-body bound states to mediated superfluidity
  New J. Phys. 25, 093032 (2023) [Crossref]
• Keiler et al., Interaction-induced single-impurity tunneling in a binary mixture of trapped ultracold bosons
  Phys. Rev. A 100, 043616 (2019) [Crossref]
• Charalambous et al., Heat current control in trapped Bose–Einstein Condensates
  New J. Phys. 21, 083037 (2019) [Crossref]
• Planella et al., Bath-Induced Correlations Enhance Thermometry Precision at Low Temperatures
  Phys. Rev. Lett. 128, 040502 (2022) [Crossref]
• Rammohan et al., Tailoring Bose-Einstein-condensate environments for a Rydberg impurity
  Phys. Rev. A 103, 063307 (2021) [Crossref]
• Jager et al., Stochastic-field approach to the quench dynamics of the one-dimensional Bose polaron
  Phys. Rev. Research 3, 033212 (2021) [Crossref]
• Drescher et al., Medium-induced interaction between impurities in a Bose-Einstein condensate
  Phys. Rev. A 107, 063301 (2023) [Crossref]
• Falcão et al., Nonergodic dynamics for an impurity interacting with bosons in a tilted lattice
  Phys. Rev. B 108, 134201 (2023) [Crossref]
• Charalambous et al., Control of anomalous diffusion of a Bose polaron
  Quantum 4, 232 232 (2020) [Crossref]
• Theel et al., Crossover from attractive to repulsive induced interactions and bound states of two distinguishable Bose polarons
  SciPost Phys. 16, 023 (2024) [Crossref]
• Paredes et al., Interactions mediated by atoms, photons, electrons, and excitons
  Phys. Rev. A 110, 030101 (2024) [Crossref]
• Camacho-Guardian et al., Mediated Interactions and Photon Bound States in an Exciton-Polariton Mixture
  Phys. Rev. Lett. 126, 017401 (2021) [Crossref]
• Mistakidis et al., Induced correlations between impurities in a one-dimensional quenched Bose gas
  Phys. Rev. Research 2, 023154 (2020) [Crossref]
• Sierant et al., Slow dynamics of a mobile impurity interacting with an Anderson insulator
  Phys. Rev. B 107, 144201 (2023) [Crossref]