Asymmetric Tunneling of Bose-Einstein Condensates

• URL: http://arxiv.org/abs/2110.15298v4
• Date: Fri, 20 Jan 2023 21:18:31 GMT
• Title: Asymmetric Tunneling of Bose-Einstein Condensates
• Authors: Dustin R. Lindberg, Naceur Gaaloul, Lev Kaplan, Jason R. Williams, Dennis Schlippert, Patrick Boegel, Ernst-Maria Rasel, Denys I. Bondar
• Abstract summary: Landau argued that, for single particle systems in 1D, tunneling probability remains the same for a particle incident from the left or the right of a barrier. We show this breaking of the left-right tunneling symmetry for Bose-Einstein condensates in 1D, modelled by the Gross-Pitaevskii equation (GPE) We conclude by suggesting applications of the phenomena to design atomtronic diodes, synthetic gauge fields, Maxwell's demons, and black-hole analogues.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In his celebrated textbook, \textit{Quantum Mechanics: Nonrelativistic Theory}, Landau argued that, for single particle systems in 1D, tunneling probability remains the same for a particle incident from the left or the right of a barrier. This left-right symmetry of tunneling probability holds regardless of the shape of the potential barrier. However, there are a variety of known cases that break this symmetry, e.g. when observing composite particles. We computationally (and analytically, in the simplest case) show this breaking of the left-right tunneling symmetry for Bose-Einstein condensates (BEC) in 1D, modelled by the Gross-Pitaevskii equation (GPE). By varying $g$, the parameter of inter-particle interaction in the BEC, we demonstrate that the transition from symmetric ($g=0$) to asymmetric tunneling is a threshold phenomenon. Our computations employ experimentally feasible parameters such that these results may be experimentally demonstrated in the near future. We conclude by suggesting applications of the phenomena to design atomtronic diodes, synthetic gauge fields, Maxwell's demons, and black-hole analogues.

Related papers

• Oscillatory dissipative tunneling in an asymmetric double-well potential [32.65699367892846]
  Chemical research will benefit from a fully controllable, asymmetric double-well equipped with precise measurement capabilities of the tunneling rates. Our work paves the way for analog molecule simulators based on quantum superconducting circuits.
  arXiv  Detail & Related papers  (2024-09-19T22:43:07Z)
• Entanglement asymmetry and quantum Mpemba effect in two-dimensional free-fermion systems [0.0]
  The quantum Mpemba effect is the counter-intuitive non-equilibrium phenomenon wherein the dynamic restoration of a broken symmetry occurs more rapidly when the initial state exhibits a higher degree of symmetry breaking. Here we focus on a two-dimensional free-fermion lattice employing the entanglement asymmetry as a measure of symmetry breaking. We find that the quantum Mpemba effect is strongly affected by the size of the system in the transverse dimension, with the potential to either enhance or spoil the phenomenon depending on the initial states.
  arXiv  Detail & Related papers  (2024-03-07T13:38:40Z)
• Remarks on effects of projective phase on eigenstate thermalization hypothesis [0.0]
  We consider $mathbbZ_NtimesmathbbZ_N$ symmetries with nontrivial projective phases. We also perform numerical analyses for $ (1+1)$-dimensional spin chains and the $ (2+1)$-dimensional lattice gauge theory.
  arXiv  Detail & Related papers  (2023-10-17T17:36:37Z)
• SU(d)-Symmetric Random Unitaries: Quantum Scrambling, Error Correction, and Machine Learning [11.861283136635837]
  We show that in the presence of SU(d) symmetry, the local conserved quantities would exhibit residual values even at $t rightarrow infty$. We also show that SU(d)-symmetric unitaries can be used to constructally optimal codes. We derive an overpartameterization threshold via the quantum neural kernel.
  arXiv  Detail & Related papers  (2023-09-28T16:12:31Z)
• Efficient quantum algorithms for testing symmetries of open quantum systems [17.55887357254701]
  In quantum mechanics, it is possible to eliminate degrees of freedom by leveraging symmetry to identify the possible physical transitions. Previous works have focused on devising quantum algorithms to ascertain symmetries by means of fidelity-based symmetry measures. We develop alternative symmetry testing quantum algorithms that are efficiently implementable on quantum computers.
  arXiv  Detail & Related papers  (2023-09-05T18:05:26Z)
• Particle-hole symmetry protects spin-valley blockade in graphene quantum dots [0.33727511459109777]
  Bilayer graphene allows realizing electron-hole double quantum-dots that exhibit nearly perfect particle-hole symmetry. This symmetry results in a protected single-particle spin-valley blockade. The latter will allow robust spin-to-charge conversion and valley-to-charge conversion.
  arXiv  Detail & Related papers  (2023-03-17T18:29:29Z)
• Page curve and symmetries [0.0]
  We consider a qubit system with a random dynamics as a toy model of black hole. We compute its symmetry-resolved entropies and discuss its implications.
  arXiv  Detail & Related papers  (2022-06-20T08:31:01Z)
• Quantum fluctuations on top of a $\mathcal{PT}$-symmetric Bose-Einstein Condensate [0.0]
  We investigate the effects of quantum fluctuations in a parity-time($mathcalPT$) symmetric two-species Bose-Einstein Condensate(BEC) It is found that the $mathcalPT$-symmetry can be spontaneously broken by its Bogoliubov quasi-particles under quantum fluctuations.
  arXiv  Detail & Related papers  (2021-08-10T02:00:49Z)
• $\PT$ Symmetry and Renormalisation in Quantum Field Theory [62.997667081978825]
  Quantum systems governed by non-Hermitian Hamiltonians with $PT$ symmetry are special in having real energy eigenvalues bounded below and unitary time evolution. We show how $PT$ symmetry may allow interpretations that evade ghosts and instabilities present in an interpretation of the theory within a Hermitian framework.
  arXiv  Detail & Related papers  (2021-03-27T09:46:36Z)
• Localization of Rung Pairs in Hard-core Bose-Hubbard Ladder [13.46516066673]
  We study the rung-pair localization of the Bose-Hubbard ladder model without quenched disorder. In the hard-core limit, there exists a rung-pair localization both at the edges and in the bulk. Our results reveal another interesting type of disorder-free localization related to a zero-energy flat band.
  arXiv  Detail & Related papers  (2020-05-18T08:40:40Z)
• Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
  We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
  arXiv  Detail & Related papers  (2020-03-24T17:31:34Z)

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.