On the Efimov Effect for Four Particles in Dimension Two

• URL: http://arxiv.org/abs/2602.05942v1
• Date: Thu, 05 Feb 2026 17:57:00 GMT
• Title: On the Efimov Effect for Four Particles in Dimension Two
• Abstract summary: We prove that Schrdinger operator describing four particles in two dimensions, interacting solely through short-range three-body forces, can possess infinitely many bound states.<n>Our result establishes an analog of the Efimov effect for such four-particle systems in two dimensions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We prove that the Schrödinger operator describing four particles in two dimensions, interacting solely through short-range three-body forces, can possess infinitely many bound states. This holds under the assumption that each three-body subsystem has a virtual level at zero energy. Our result establishes an analog of the Efimov effect for such four-particle systems in two dimensions.

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)
• On the properties of qudits [0.0]
  We show that only two-qubit Werner states can be pure states, but not two-qudit Werner states when the qudit dimension is larger than two. We show that only two-qubit Werner states can be pure states, but not two-qudit Werner states when the qudit dimension is larger than two.
  arXiv  Detail & Related papers  (2024-05-22T17:41:28Z)
• 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)
• Realization of an atomic quantum Hall system in four dimensions [3.713193140918009]
  We report the realization of an atomic quantum Hall system evolving in four dimensions (4D) with two spatial dimensions and two synthetic ones encoded in the large spin of dysprosium atoms. Our work opens to the investigation of strongly-correlated topological liquids in 4D generalizing fractional quantum Hall states.
  arXiv  Detail & Related papers  (2022-10-12T15:41:45Z)
• The Quadruplon in a Monolayer Semiconductor [9.323335139073711]
  We present the first experimental evidence for the existence of a four-body irreducible entity, the quadruplon. In contrast to a bi-exciton which consists of two weakly bound excitons, a quadruplon consists of two electrons and two holes without the presence of an exciton.
  arXiv  Detail & Related papers  (2022-07-26T09:10:33Z)
• Neural-Network Quantum States for Periodic Systems in Continuous Space [66.03977113919439]
  We introduce a family of neural quantum states for the simulation of strongly interacting systems in the presence of periodicity. For one-dimensional systems we find very precise estimations of the ground-state energies and the radial distribution functions of the particles. In two dimensions we obtain good estimations of the ground-state energies, comparable to results obtained from more conventional methods.
  arXiv  Detail & Related papers  (2021-12-22T15:27:30Z)
• Six-point functions and collisions in the black hole interior [71.67770216265583]
  We consider two signals sent from the boundaries into the black hole interior shared between the two regions. We compute three different out-of-time-order six-point functions to quantify various properties of the collision.
  arXiv  Detail & Related papers  (2021-05-26T18:01:23Z)
• Characterizing four-body indistinguishability via symmetries [68.8204255655161]
  We show how to characterize up to four identical bosonic or fermionic particles, which are rendered partially distinguishable through their internal degrees of freedom prepared in mixed states. For pure internal states, we further extract information on the particles' collective phases, which ultimately allows for an experimental reconstruction of the full many-particle density operator up to complex conjugation.
  arXiv  Detail & Related papers  (2021-03-08T08:38:32Z)
• Classification of three-photon states in waveguide quantum electrodynamics [77.34726150561087]
  We show that the rich interplay of effects from order, chaos to localisation found in two-photon systems extends naturally to three-photon systems. There also exist interaction-induced localised states unique to three-photon systems such as bound trimers, corner states and trimer edge states.
  arXiv  Detail & Related papers  (2020-12-07T23:41:09Z)
• Enhanced decoherence for a neutral particle sliding on a metallic surface in vacuum [68.8204255655161]
  We show that non-contact friction enhances the decoherence of the moving atom. We suggest that measuring decoherence times through velocity dependence of coherences could indirectly demonstrate the existence of quantum friction.
  arXiv  Detail & Related papers  (2020-11-06T17:34:35Z)
• Dissipative analog of four-dimensional quantum Hall physics [0.0]
  We study a QH system which features a nontrivial configuration of three-dimensional Weyl cones on its boundaries. We propose a three-dimensional analog of this model in the form of a dissipative Weyl semimetal. We find exceptional points with an order that scales with system size.
  arXiv  Detail & Related papers  (2020-03-24T18:01:11Z)

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.