Effects of quantum fluctuations on macroscopic quantum tunneling and self-trapping of BEC in a double well trap

• URL: http://arxiv.org/abs/2306.04989v1
• Date: Thu, 8 Jun 2023 07:22:16 GMT
• Title: Effects of quantum fluctuations on macroscopic quantum tunneling and self-trapping of BEC in a double well trap
• Authors: Fatkhulla Kh. Abdullaev, Ravil M. Galimzyanov and Akbar M. Shermakhmatov
• Abstract summary: Quantum fluctuations are described by the Lee-Huang-Yang term in the modified Gross-Pitaevskii equation. The frequencies of Josephson oscillations and self-trapping conditions under quantum fluctuations are found analytically and proven. The tunneling and localization phenomena are investigated also for the case of the Lee-Huang-Yang fluid loaded in the double-well potential.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the influence of quantum fluctuations on the macroscopic quantum tunneling and self-trapping of a two-component Bose-Einstein condensate in a double-well trap. Quantum fluctuations are described by the Lee-Huang-Yang term in the modified Gross-Pitaevskii equation. Employing the modified Gross-Pitaevskii equation in scalar approximation, we derive the dimer model using a two-mode approximation. The frequencies of Josephson oscillations and self-trapping conditions under quantum fluctuations are found analytically and proven by numerical simulations of the modified Gross-Pitaevskii equation. The tunneling and localization phenomena are investigated also for the case of the Lee-Huang-Yang fluid loaded in the double-well potential.

Related papers

• Quantum Simulation of Conical Intersections [7.85411031368342]
  We show how the conical intersections (CIs) can be correctly described on quantum devices. A hybrid quantum-classical procedure is used to locate the seam of CIs. Results on noisy intermediate-scale quantum devices showcase the potential of quantum computers in dealing with problems in nonadiabatic chemistry.
  arXiv  Detail & Related papers  (2024-01-28T04:14:43Z)
• Amplification of quantum transfer and quantum ratchet [56.47577824219207]
  We study a model of amplification of quantum transfer and making it directed which we call the quantum ratchet model. The ratchet effect is achieved in the quantum control model with dissipation and sink, where the Hamiltonian depends on vibrations in the energy difference synchronized with transitions between energy levels. Amplitude and frequency of the oscillating vibron together with the dephasing rate are the parameters of the quantum ratchet which determine its efficiency.
  arXiv  Detail & Related papers  (2023-12-31T14:04:43Z)
• Entanglement and quantum discord in the cavity QED models [0.0]
  We investigate the quantum correlation between light and matter in bipartite quantum systems. To gauge the degree of quantum entanglement, some entanglement measurements are introduced. consideration is given to the impacts of initial entanglement and dissipation strength on quantum discord.
  arXiv  Detail & Related papers  (2023-07-14T14:01:00Z)
• On the equivalence of the Pais-Uhlenbeck oscillator model and two non-Hermitian Harmonic Oscillators [0.0]
  We present the construction of the path integral, generating functionals and vacuum persistence amplitudes for PT-symmetry completed systems. We discuss some implications to Quantum Field Theory and Particle Physics.
  arXiv  Detail & Related papers  (2023-02-27T16:36:56Z)
• Unveiling quantum entanglement and correlation of sub-Ohmic and Ohmic baths for quantum phase transitions in dissipative systems [6.564294282164792]
  We numerically investigate quantum entanglement and correlation of sub-Ohmic and Ohmic baths for dissipative quantum phase transitions. With several measures borrowed from quantum information theory, three different types of singularities are found for the first-order, second-order, and Kosterlitz-Thouless phase transitions. The scaling form of the quantum discord in the Ohmic case is identified, quite different from that in the sub-Ohmic regime.
  arXiv  Detail & Related papers  (2022-02-06T02:01:26Z)
• Loschmidt echo and Poincar\'e recurrences of entanglement [0.0]
  We study the properties of entanglement of two interacting, or noninteracting, particles evolving in a regime of quantum chaos in the quantum Chirikov standard map. The obtained results show unusual features of the entropy of entanglement and the spectrum of Schmidt decomposition with their dependence on interactions at different quantum chaos regimes.
  arXiv  Detail & Related papers  (2022-01-07T18:51:31Z)
• Bose-Einstein condensate soliton qubit states for metrological applications [58.720142291102135]
  We propose novel quantum metrology applications with two soliton qubit states. Phase space analysis, in terms of population imbalance - phase difference variables, is also performed to demonstrate macroscopic quantum self-trapping regimes.
  arXiv  Detail & Related papers  (2020-11-26T09:05:06Z)
• Assessment of weak-coupling approximations on a driven two-level system under dissipation [58.720142291102135]
  We study a driven qubit through the numerically exact and non-perturbative method known as the Liouville-von equation with dissipation. We propose a metric that may be used in experiments to map the regime of validity of the Lindblad equation in predicting the steady state of the driven qubit.
  arXiv  Detail & Related papers  (2020-11-11T22:45:57Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)
• Exploring 2D synthetic quantum Hall physics with a quasi-periodically driven qubit [58.720142291102135]
  Quasi-periodically driven quantum systems are predicted to exhibit quantized topological properties. We experimentally study a synthetic quantum Hall effect with a two-tone drive.
  arXiv  Detail & Related papers  (2020-04-07T15:00:41Z)
• Quantum Statistical Complexity Measure as a Signalling of Correlation Transitions [55.41644538483948]
  We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signalling function of quantum order-disorder transitions. We apply our measure to two exactly solvable Hamiltonian models, namely: the $1D$-Quantum Ising Model and the Heisenberg XXZ spin-$1/2$ chain. We also compute this measure for one-qubit and two-qubit reduced states for the considered models, and analyse its behaviour across its quantum phase transitions for finite system sizes as well as in the thermodynamic limit by using Bethe ansatz.
  arXiv  Detail & Related papers  (2020-02-05T00:45:21Z)

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.