Two-body quench dynamics of harmonically trapped interacting particles

• URL: http://arxiv.org/abs/2005.01235v4
• Date: Mon, 18 Jan 2021 09:01:13 GMT
• Title: Two-body quench dynamics of harmonically trapped interacting particles
• Authors: A. D. Kerin and A. M. Martin
• Abstract summary: We consider the quantum evolution of a pair of interacting atoms in a three dimensional isotropic trap. We show that when the interaction is quenched from the non-interacting to strongly interacting regimes the early time dependence dynamics are consistent with theoretical work in the single impurity many-body limit.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider the quantum evolution of a pair of interacting atoms in a three dimensional isotropic trap where the interaction strength is quenched from one value to another. Using exact solutions of the static problem we are able to evaluate time-dependent observables such as the overlap between initial and final states and the expectation value of the separation between the two atoms. In the case where the interaction is quenched from the non-interacting regime to the strongly interacting regime, or vice versa, we are able to obtain analytic results. Examining the overlap between the initial and final states we show that when the interaction is quenched from the non-interacting to strongly interacting regimes the early time dependence dynamics are consistent with theoretical work in the single impurity many-body limit. When the system is quenched from the strongly to non-interacting regime we predict large oscillations in the separation between the two atoms, which arises from a logarithmic divergence due to the zero-range nature of the interaction potential.

Related papers

• Understanding multiple timescales in quantum dissipative dynamics: Insights from quantum trajectories [0.0]
  We show that open quantum systems with nearly degenerate energy levels exhibit long-lived metastable states in the approach to equilibrium. This is a result of dramatic separation of timescales due to differences between Liouvillian eigenvalues.
  arXiv  Detail & Related papers  (2024-02-07T02:06:51Z)
• Entanglement statistics of randomly interacting spins [62.997667081978825]
  Entanglement depends on the underlying topology of the interaction among the qubits. We investigate the entanglement in the ground state of systems comprising two and three qubits with random interactions.
  arXiv  Detail & Related papers  (2023-07-18T23:58:32Z)
• Nonlocal thermoelectric detection of interaction and correlations in edge states [62.997667081978825]
  We propose the nonlocal thermoelectric response as a direct indicator of the presence of interactions, nonthermal states and the effect of correlations. A setup with two controllable quantum point contacts allows thermoelectricity to monitor the interacting system thermalisation.
  arXiv  Detail & Related papers  (2023-07-18T16:28:59Z)
• Formation of robust bound states of interacting microwave photons [148.37607455646454]
  One of the hallmarks of interacting systems is the formation of multi-particle bound states. We develop a high fidelity parameterizable fSim gate that implements the periodic quantum circuit of the spin-1/2 XXZ model. By placing microwave photons in adjacent qubit sites, we study the propagation of these excitations and observe their bound nature for up to 5 photons.
  arXiv  Detail & Related papers  (2022-06-10T17:52:29Z)
• Complex scaling flows in the quench dynamics of interacting particles [0.0]
  Many-body systems driven out of equilibrium can exhibit scaling flows of the quantum state. For a sudden quench to resonant interactions between particles we construct a new class of analytical scaling solutions.
  arXiv  Detail & Related papers  (2022-03-11T17:21:51Z)
• Two-atom van-der-Waals forces with one atom excited: the identical atoms limit I [0.0]
  We compute the van-der-Waals forces between two atoms, one of which is initially excited, in the limit of identical atoms. In this limit we find that, at leading order, the van-der-Waals forces are fully-resonant and grow linearly in time, being different upon each atom.
  arXiv  Detail & Related papers  (2021-04-12T22:40:31Z)
• Light-matter interactions near photonic Weyl points [68.8204255655161]
  Weyl photons appear when two three-dimensional photonic bands with linear dispersion are degenerated at a single momentum point, labeled as Weyl point. We analyze the dynamics of a single quantum emitter coupled to a Weyl photonic bath as a function of its detuning with respect to the Weyl point.
  arXiv  Detail & Related papers  (2020-12-23T18:51:13Z)
• Resonant enhancement of three-body loss between strongly interacting photons [47.30557822621873]
  Rydberg polaritons provide an example of a rare type of system where three-body interactions can be as strong or even stronger than two-body interactions. We show how the shape and strength of dissipative three-body forces can be universally enhanced for Rydberg polaritons.
  arXiv  Detail & Related papers  (2020-10-19T18:21:49Z)
• Collective spontaneous emission of two entangled atoms near an oscillating mirror [50.591267188664666]
  We consider the cooperative spontaneous emission of a system of two identical atoms, interacting with the electromagnetic field in the vacuum state. Using time-dependent theory, we investigate the spectrum of the radiation emitted by the two-atom system. We show that it is modulated in time, and that the presence of the oscillating mirror can enhance or inhibit the decay rate.
  arXiv  Detail & Related papers  (2020-10-07T06:48:20Z)
• Interplay between coherent and dissipative dynamics of bosonic doublons in an optical lattice [0.0]
  We study how three-body losses contribute to the lattice dynamics. We observe rapid break-up of bound pairs for weak interactions, and for stronger interactions we see doublon decay rates that are asymmetric.
  arXiv  Detail & Related papers  (2020-05-19T21:31:59Z)

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.