Pseudopotentials for Two-dimentional Ultracold Scattering in the Presence of Synthetic Spin-orbit-coupling

• URL: http://arxiv.org/abs/2202.05431v1
• Date: Fri, 11 Feb 2022 03:52:40 GMT
• Title: Pseudopotentials for Two-dimentional Ultracold Scattering in the Presence of Synthetic Spin-orbit-coupling
• Authors: Christiaan R. Hougaard, Brendan C. Mulkerin, Xia-Ji Liu, Hui Hu, Jia Wang
• Abstract summary: We derive a pseudopotential in two dimensions (2D) with the presence of a 2D Rashba spin-orbit-coupling (SOC) As an application, we apply our pseudopotential with the Lippmann-Schwinger equation to obtain an analytical scattering matrix.
• Score: 2.6855505491859755
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We derive a pseudopotential in two dimensions (2D) with the presence of a 2D Rashba spin-orbit-coupling (SOC), following the same spirit of frame transformation in {[}Phys. Rev. A 95, 020702(R) (2017){]}. The frame transformation correctly describes the non-trivial phase accumulation and partial wave couplings due to the presence of SOC and gives rise to a different pseudopotential than the free-space one, even when the length scale of SOC is significantly larger than the two-body potential range. As an application, we apply our pseudopotential with the Lippmann-Schwinger equation to obtain an analytical scattering matrix. To demonstrate the validity, we compare our results with a numerical scattering calculation of finite-range potential and show perfect agreement over a wide range of scattering energy and SOC strength. Our results also indicate that the differences between our pseudopotential and the original free-space pseudopotential are essential to reproduce scattering observables correctly.

Related papers

• Two-dimensional non-Hermitian Su-Schrieffer-Heeger Model [0.0]
  A particle-hole symmetry protected 2D non-Hermitian Su-Schrieffer-Heeger (SSH) model is investigated. The exceptional points occur, when the dimensionless potential magnitude and the hopping amplitudes become close to unity.
  arXiv  Detail & Related papers  (2024-10-07T07:49:35Z)
• Influence of catastrophes and hidden dynamical symmetries on ultrafast backscattered photoelectrons [0.0]
  We discuss the effect of using potentials with a Coulomb tail and different degrees of softening in the photoelectron momentum distributions. We show that introducing a softening in the Coulomb interaction influences the ridges observed in the PMDs associated with backscattered electron trajectories.
  arXiv  Detail & Related papers  (2024-03-04T17:53:01Z)
• Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials [77.34726150561087]
  We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
  arXiv  Detail & Related papers  (2022-10-03T16:51:25Z)
• Spin Current Density Functional Theory of the Quantum Spin-Hall Phase [59.50307752165016]
  We apply the spin current density functional theory to the quantum spin-Hall phase. We show that the explicit account of spin currents in the electron-electron potential of the SCDFT is key to the appearance of a Dirac cone.
  arXiv  Detail & Related papers  (2022-08-29T20:46:26Z)
• Quantum spin liquids of Rydberg excitations in a honeycomb lattice induced by density-dependent Peierls phases [0.0]
  We show that the nonlinear transport of bosonic excitations in a two-dimensional honeycomb lattice of spin-orbit coupled Rydberg atoms gives rise to disordered quantum phases. We show that this phase is a genuine disordered one, has a non-vanishing spin chirality and is characterized by a non-trivial many-body Chern number.
  arXiv  Detail & Related papers  (2022-02-07T15:17:42Z)
• Phase diagram of Rydberg-dressed atoms on two-leg square ladders: Coupling supersymmetric conformal field theories on the lattice [52.77024349608834]
  We investigate the phase diagram of hard-core bosons in two-leg ladders in the presence of soft-shoulder potentials. We show how the competition between local and non-local terms gives rise to a phase diagram with liquid phases with dominant cluster, spin, and density-wave quasi-long-range ordering.
  arXiv  Detail & Related papers  (2021-12-20T09:46:08Z)
• Quantum correlations, entanglement spectrum and coherence of two-particle reduced density matrix in the Extended Hubbard Model [62.997667081978825]
  We study the ground state properties of the one-dimensional extended Hubbard model at half-filling. In particular, in the superconducting region, we obtain that the entanglement spectrum signals a transition between a dominant singlet (SS) to triplet (TS) pairing ordering in the system.
  arXiv  Detail & Related papers  (2021-10-29T21:02:24Z)
• 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)
• Scattering Amplitude Together with Thermodynamic Properties in the Poschl-Teller Double Ring-Shaped Coulomb Potential [0.0]
  We obtain the exact solution to the Dirac equation with the Poschl-Teller double ring-shaped Coulomb (PTDRSC) potential for any spin-orbit quantum number K. The relativistic scattering amplitude for spin 1/2 particles in the field of this potential has been studied.
  arXiv  Detail & Related papers  (2020-09-05T14:11:31Z)
• Analytically solvable quasi-one-dimensional Kronig-Penney model [0.0]
  We generalize the Kronig-Penney model to realistic conditions for a quantum-particle moving in a quasi-one-dimensional (quasi-1D) waveguide. We study the properties of eigen-energies as a function of particle quasi-momentum, which form band structure.
  arXiv  Detail & Related papers  (2020-05-31T18:15:02Z)
• Entanglement dynamics in dissipative photonic Mott insulators [62.997667081978825]
  In spite of particle losses the quantum entanglement propagation exhibits a ballistic character with propagation speeds related to the differerent quasiparticles that are involved in the dynamics. Our analysis reveals that photon dissipation has a strikingly asymmetric behavior in the two configurations with a much more dramatic role on the holon entanglement propagation than for the doublon case.
  arXiv  Detail & Related papers  (2020-04-27T15:48:24Z)

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.