Universal tetramer limit-cycle at the unitarity limit

• URL: http://arxiv.org/abs/2303.14952v1
• Date: Mon, 27 Mar 2023 07:33:00 GMT
• Title: Universal tetramer limit-cycle at the unitarity limit
• Authors: Tobias Frederico and Mario Gattobigio
• Abstract summary: A four-boson limit-cycle independent of the Efimov one appears in Hamiltonian systems at the unitary limit. This is a universal manifestation of an independent four-boson scale associated with a cycle beyond the Efimov one.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We demonstrate that a four-boson limit-cycle independent of the Efimov one appears in Hamiltonian systems at the unitary limit. The model interaction contains two-, three- and four-body short-range potentials, which disentangle the interwoven three- and four-boson cycles, for the universal trimer and tetramer energy levels, respectively. The limit-cycle associated with the correlation between the energies of two successive universal tetramer levels for fixed weakly bound trimer is found to be largely model independent. This is a universal manifestation of an independent four-boson scale associated with a cycle beyond the Efimov one.

Related papers

• Four-body physics in low-dimensional bosons with three-body interaction [0.0]
  A two-channel model for bosons with the three-body interaction is proposed.<n>A detailed exploration of the Efimov-like effect in the fractal-dimension system of four bosons is carried out.<n> Peculiarities of the four-body bound states and the low-energy atom-trimer scattering in one dimension are revealed.
  arXiv  Detail & Related papers  (2025-06-22T14:08:14Z)
• Universal $p$-wave tetramers in low-dimensional fermionic systems with three-body interaction [0.0]
  We propose the two-channel model of three-component fermions with the three-body interaction. The $p$-wave Efimov-like effect in the four-body sector is predicted in fractional dimensions above 1D. The impact of the finite-range interaction on the formation of the four-body bound states in $d=1$ is also discussed in detail.
  arXiv  Detail & Related papers  (2024-01-21T19:40:45Z)
• Entanglement-induced collective many-body interference [62.22849132943891]
  We propose an interferometric setting through which N-particle interference can be observed, while any interference of lower orders is strictly suppressed. We experimentally demonstrate this effect in a four-photon interferometer, where the interference is nonlocal, in principle. A joint detection of all four photons identifies a high-visibility interference pattern varying as a function of their collective four-particle phase, a genuine four-body property.
  arXiv  Detail & Related papers  (2023-10-12T18:00:02Z)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• Three and four identical fermions near the unitary limit [0.0]
  This work analyzes the three and four equal-mass fermionic systems near and at the $s$- and $p$-wave unitary limits.
  arXiv  Detail & Related papers  (2022-05-09T21:23:54Z)
• Non-Gaussian superradiant transition via three-body ultrastrong coupling [62.997667081978825]
  We introduce a class of quantum optical Hamiltonian characterized by three-body couplings. We propose a circuit-QED scheme based on state-of-the-art technology that implements the considered model.
  arXiv  Detail & Related papers  (2022-04-07T15:39:21Z)
• New insights into four-boson renormalization group limit cycles [0.0]
  We generate populations of synthetic singular potentials within the latent space of a boosted ensemble of variational autoencoders. We prove to generate limit cycles for four bosons and which is already known to produce limit cycles in the three-boson system. This also indicates that a four-body term does not enter low-energy observables at leading order, since we do not observe any additional scale to emerge.
  arXiv  Detail & Related papers  (2022-03-28T09:15:36Z)
• Three-body renormalization group limit cycles based on unsupervised feature learning [0.0]
  We address the question which two-body interactions lead to limit cycles in the three-body system at low energies. We apply an elitist genetic algorithm to a population of synthetic potentials that minimizes a specially defined limit-cycle-loss. The resulting fittest individuals suggest that the inverse square potential is the only two-body potential that minimizes this limit cycle loss independent of the hyperangle.
  arXiv  Detail & Related papers  (2021-11-15T15:04:24Z)
• 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)
• Spectrum of localized states in fermionic chains with defect and adiabatic charge pumping [68.8204255655161]
  We study the localized states of a generic quadratic fermionic chain with finite-range couplings. We analyze the robustness of the connection between bands against perturbations of the Hamiltonian.
  arXiv  Detail & Related papers  (2021-07-20T18:44:06Z)
• Emergent four-body parameter in universal two-species bosonic systems [0.0]
  We study the existence of a scale unique to the $AABB$ tetramer. We understand the $AABB$ and $AAAB$/$ABBB$ tetramers as representatives of two different universal classes of $N$-body systems.
  arXiv  Detail & Related papers  (2021-03-26T19:49:05Z)
• On the Hamiltonian for three bosons with point interactions [77.34726150561087]
  We briefly summarize the most relevant steps in the search of rigorous results about the properties of quantum systems made of three bosons interacting with zero-range forces. We also describe recent attempts to solve the unboundedness problem of point-interaction Hamiltonians for a three-boson system, keeping the spectrum structure at low energies.
  arXiv  Detail & Related papers  (2020-01-28T16:52:04Z)

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.