Adiabatic formation of bound states in the 1d Bose gas

• URL: http://arxiv.org/abs/2010.13738v2
• Date: Fri, 23 Apr 2021 13:48:10 GMT
• Title: Adiabatic formation of bound states in the 1d Bose gas
• Authors: Rebekka Koch, Alvise Bastianello, Jean-S\'ebastien Caux
• Abstract summary: We analytically determine the formation of bound states in the limit of adiabatic changes in the interactions of 1d interacting Bose gas. Our results are valid for arbitrary initial thermal states and, more generally, Generalized Gibbs Ensembles.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider the 1d interacting Bose gas in the presence of time-dependent and spatially inhomogeneous contact interactions. Within its attractive phase, the gas allows for bound states of an arbitrary number of particles, which are eventually populated if the system is dynamically driven from the repulsive to the attractive regime. Building on the framework of Generalized Hydrodynamics, we analytically determine the formation of bound states in the limit of adiabatic changes in the interactions. Our results are valid for arbitrary initial thermal states and, more generally, Generalized Gibbs Ensembles.

Related papers

• Unbounded entropy production and violent fragmentation in long-range interacting super-Tonks-Girardeau systems [0.0]
  We study the non-equilibrium dynamics of a one-dimensional Bose gas with long-range interactions that decay as $(frac1ralpha)$ $(0.5 alpha 4.0$) We find that relaxation is achieved through a complex intermediate dynamics demonstrated by violent fragmentation and chaotic delocalization. Our study showcases the complex relaxation behavior of tunable long-range interacting systems that could be engineered in state-of-the-art experiments.
  arXiv  Detail & Related papers  (2024-05-23T18:00:00Z)
• Quantized Thouless pumps protected by interactions in dimerized Rydberg tweezer arrays [41.94295877935867]
  In the noninteracting case, quantized Thouless pumps can only occur when a topological singularity is encircled adiabatically. In the presence of interactions, such topological transport can even persist for exotic paths in which the system gets arbitrarily close to the noninteracting singularity.
  arXiv  Detail & Related papers  (2024-02-14T16:58:21Z)
• Dynamics of inhomogeneous spin ensembles with all-to-all interactions: breaking permutational invariance [49.1574468325115]
  We investigate the consequences of introducing non-uniform initial conditions in the dynamics of spin ensembles characterized by all-to-all interactions. We find that the dynamics of the spin ensemble now spans a more expansive effective Hilbert space.
  arXiv  Detail & Related papers  (2023-09-19T16:44:14Z)
• Collective flow of fermionic impurities immersed in a Bose-Einstein Condensate [34.82692226532414]
  We study the collective oscillations of spin-polarized fermionic impurities immersed in a Bose-Einstein condensate. For strong interactions, the Fermi gas perfectly mimics the superfluid hydrodynamic modes of the condensate. With an increasing number of bosonic thermal excitations, the dynamics of the impurities cross over from the collisionless to the hydrodynamic regime.
  arXiv  Detail & Related papers  (2023-04-16T00:58:05Z)
• Prethermalization in coupled one-dimensional quantum gases [0.0]
  We consider the problem of steady states in one-dimensional Bose gas tubes that are weakly coupled to one another through a density-density interaction. We argue that when the leading order of the collision integral, where single particle-hole excitations are created in individual gases, is dominant, the state of the gas evolves first to a non-thermal fixed point.
  arXiv  Detail & Related papers  (2023-03-22T11:59:08Z)
• Fermionization of a Few-Body Bose System Immersed into a Bose-Einstein Condensate [0.0]
  We study the recently introduced self-pinning transition [Phys. Rev. Lett. 128, 053401 (2022) in a quasi-one-dimensional two-component quantum gas. As a result of the matter-wave backaction, the fermionization in the limit of infinite intraspecies repulsion occurs via a first-order phase transition to the self-pinned state. The system also exhibits an additional super state for the immersed component if the interspecies interaction is able to overcome the intraspecies repulsion.
  arXiv  Detail & Related papers  (2023-02-02T08:07:35Z)
• Thermal Area Law for Lattice Bosons [0.0]
  We rigorously derive a thermal area law for a class of bosonic Hamiltonians in any dimension which includes the paradigmatic Bose-Hubbard model. The main idea to go beyond bounded interactions is to introduce a quasi-free reference state with artificially decreased chemical potential.
  arXiv  Detail & Related papers  (2022-07-15T21:28:00Z)
• 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)
• Field-theoretical aspects of one-dimensional Bose and Fermi gases with contact interactions [0.0]
  We investigate local quantum field theories for 1D Bose and Fermi gases with contact interactions. Because of this three-body coupling, the three-body contact characterizing a local correlation appears in the energy relation for fermions. The triads for the Tonks-Girardeau gas, which is a Bose gas with a hardcore repulsion, as well as the Bose-Fermi correspondence in the presence of three-body attractions are also discussed.
  arXiv  Detail & Related papers  (2020-11-24T09:04:03Z)
• Analog cosmological reheating in an ultracold Bose gas [58.720142291102135]
  We quantum-simulate the reheating-like dynamics of a generic cosmological single-field model in an ultracold Bose gas. Expanding spacetime as well as the background oscillating inflaton field are mimicked in the non-relativistic limit. The proposed experiment has the potential of exploring the evolution up to late times even beyond the weak coupling regime.
  arXiv  Detail & Related papers  (2020-08-05T18:00:26Z)
• 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.