On the effect of repulsive interactions on Bose-Einstein condensation in the Luttinger-Sy model

• URL: http://arxiv.org/abs/2007.06448v1
• Date: Mon, 13 Jul 2020 15:36:23 GMT
• Title: On the effect of repulsive interactions on Bose-Einstein condensation in the Luttinger-Sy model
• Authors: Joachim Kerner and Maximilian Pechmann
• Abstract summary: We investigate the effect of repulsive pair interactions on Bose-Einstein condensation in a random one-dimensional system known as the Luttinger-Sy model at positive temperature. We prove in both cases that for sufficiently strong interactions all eigenstates of the non-interacting one-particle Luttinger-Sy Hamiltonian as well as any sufficiently localized one-particle state are almost surely not macroscopically occupied.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper we investigate the effect of repulsive pair interactions on Bose-Einstein condensation in a well-established random one-dimensional system known as the Luttinger-Sy model at positive temperature. We study separately hard core interactions as well as a class of more general repulsive interactions, also allowing for a scaling of certain interaction parameters in the thermodynamic limit. As a main result, we prove in both cases that for sufficiently strong interactions all eigenstates of the non-interacting one-particle Luttinger-Sy Hamiltonian as well as any sufficiently localized one-particle state are almost surely not macroscopically occupied.

Related papers

• 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)
• Multifractality in the interacting disordered Tavis-Cummings model [0.0]
  We analyze the spectral and transport properties of the interacting disordered Tavis-Cummings model at half excitation filling. We find that the bipartite entanglement entropy grows logarithmically with time. We show that these effects are due to the combination of finite interactions and integrability of the model.
  arXiv  Detail & Related papers  (2023-02-28T16:31:12Z)
• Topologically bound states, non-Hermitian skin effect and flat bands, induced by two-particle interaction [91.3755431537592]
  We study theoretically repelling quantum states of two spinless particles in a one-dimensional tight-binding model. We demonstrate, that when the particles are not identical, their interaction drives nontrivial correlated two-particle states.
  arXiv  Detail & Related papers  (2022-11-11T07:34:54Z)
• 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)
• Heat transport and cooling performance in a nanomechanical system with local and non local interactions [68.8204255655161]
  We study heat transport through a one dimensional time-dependent nanomechanical system. The system presents different stationary transport regimes depending on the driving frequency, temperature gradients and the degree of locality of the interactions.
  arXiv  Detail & Related papers  (2022-02-21T12:03:54Z)
• Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension [68.8204255655161]
  We study two-component atomic gas mixtures in one dimension involving both bosons and fermions. We report a rich variety of coherent ground-state phases that vary with the intrinsic and relative strength of the interactions.
  arXiv  Detail & Related papers  (2021-10-26T17:52:37Z)
• Bose--Einstein condensation for particles with repulsive short-range pair interactions in a Poisson random external potential in $\mathbb R^d$ [0.0]
  We study Bose gases in $d$ dimensions, $d ge 2$, with short-range repulsive pair interactions, at positive temperature, in the canonical ensemble and in the thermodynamic limit. For sufficiently strong interparticle interactions, we show that almost surely there cannot be Bose-Einstein condensation into a sufficiently localized, normalized one-particle state.
  arXiv  Detail & Related papers  (2021-10-09T14:52:14Z)
• A study on quantum gases: bosons in optical lattices and the one-dimensional interacting Bose gas [0.0]
  Bosonic atoms confined in optical lattices are described by the Bose-Hubbard model. In the vicinity of the phase boundary, there are degeneracies that occur between every two adjacent lobes. Motivated by this, we develop perturbative methods to solve the degeneracy-related problems.
  arXiv  Detail & Related papers  (2020-06-23T15:43:14Z)
• BEC immersed in a Fermi sea: Theory of static and dynamic behavior across phase separation [1.7990829163162367]
  We study the static and dynamic behavior of a BEC immersed in a large Fermi sea of ultracold atoms under conditions of tunable interspecies interaction. We develop mean-field models to simulate the system over a wide range of repulsion strength. We show that the mediated interaction between bosons induced by the Fermi sea can be understood as an adiabatic second-order mean-field effect.
  arXiv  Detail & Related papers  (2020-04-17T15:03:27Z)
• How creating one additional well can generate Bose-Einstein condensation [0.0]
  realization of Bose-Einstein condensation in ultracold trapped gases has led to a revival of interest in that fascinating quantum phenomenon. We propose a system of strongly interacting bosons which overcomes those obstacles by exhibiting a number of intriguing related features.
  arXiv  Detail & Related papers  (2020-02-23T22:08:01Z)

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.