Related papers: Spatial correlations and entanglement in a hybrid system of N fermion pairs with harmonic interaction

Spatial correlations and entanglement in a hybrid system of N fermion pairs with harmonic interaction

URL: http://arxiv.org/abs/2503.03845v1
Date: Wed, 05 Mar 2025 19:18:37 GMT
Title: Spatial correlations and entanglement in a hybrid system of N fermion pairs with harmonic interaction
Authors: M. D. Jiménez, W. J. Díaz, E. Cuestas, A. Valdés-Hernández, A. P. Majtey,
Abstract summary: We study the entanglement of the ground state across different bipartitions of a system composed by $N$ pairs of harmonically confined fermions of two different interacting species.<n>We find that in the strongly attractive regime fermions tend to localize within a confined region, while Pauli exclusion induces a spatial repulsion among identical particles.<n>In the strongly repulsive regime, the system exhibits phase separation into two spatially distinct domains.
Score: 0.0
License: http://creativecommons.org/licenses/by-nc-sa/4.0/
Abstract: Using the Moshinsky model, we analyze the spatial correlation and the entanglement of the ground state across different bipartitions of a system composed by $N$ pairs of harmonically confined fermions of two different interacting species. We find that in the strongly attractive regime fermions tend to localize within a confined region, while Pauli exclusion induces a spatial repulsion among identical particles. Conversely, in the strongly repulsive regime, the system exhibits phase separation into two spatially distinct domains. We propose a suitably designed entanglement measure that takes into account the (in)distinguishable nature of the particles, so as to guarantee that only quantum correlations beyond exchange or Slater correlations contribute to the entanglement. Our findings reveal how entanglement varies across different bipartitions, influenced by both the number of pairs and the interaction strength. The obtained entanglement between distinguishable species increases with both $N$ and the interaction strength, whereas the entanglement between subsystems of which at least one contains particles of both species decreases with $N$, suggesting a screening effect that weakens effective interactions among parties of the same kind. Our results sheds light on the intricate interplay between particle statistics and entanglement dynamics in composite quantum systems, and provides insights into the fundamental quantum correlations in fermionic systems.

Related papers

Signatures of a gravitational quantum vacuum on dynamics of massive particles [3.5507288996708097]
We study the interaction of two massive particles with a quantised gravitational field in its vacuum state.<n>For free particles, (i) leads to purely unitary dynamics but (ii) leads to dissipation.<n>For two particles coupled through a linear spring, (i) and (ii) lead to different cut-off dependences in the frequency shift harmonic ladder of the differential motional mode.
arXiv Detail & Related papers (2025-01-07T15:50:45Z)
Decoherence of a charged Brownian particle in a magnetic field : an analysis of the roles of coupling via position and momentum variables [0.0]
We study the dynamics of a harmonically oscillating charged Brownian particle coupled to an Ohmic heat bath via both position and momentum couplings. The presence of both position and momentum couplings leads to a stronger interaction with the environment, resulting in a faster loss of coherence. In addition, the magnetic field results in the slowing down of the loss of information from the system, irrespective of the nature of coupling between the system and the bath.
arXiv Detail & Related papers (2024-04-22T05:10:02Z)
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)
Occupation-dependent particle separation in one-dimensional non-Hermitian lattices [1.7412117389855228]
We unveil an exotic phenomenon arising from the interplay between non-Hermiticity and many-body physics. A pair of particles occupying the same unit cell exhibit an opposite non-Hermitian pumping direction to that of unpaired ones occupying different unit cells. By turning on an intracell interaction, many-body eigenstates split in their real energies, forming separable clusters.
arXiv Detail & Related papers (2023-07-16T07:00:28Z)
Non-Rayleigh signal of interacting quantum particles [0.0]
The dynamics of two interacting quantum particles on a weakly disordered chain is investigated. The fluctuation profile of the signal can discern whether the interacting parties are behaving like identical bosons, fermions, or distinguishable particles.
arXiv Detail & Related papers (2023-05-02T18:59:37Z)
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)
Sudden quench of harmonically trapped mass-imbalanced fermions [0.0]
Two-component mass-imbalanced few-fermion systems confined in a harmonic trap are studied. The role of mass imbalance and particle number imbalance on the system's evolution stability is investigated. The results may have implications for upcoming experiments on fermionic mixtures with a well-defined and small number of particles.
arXiv Detail & Related papers (2022-09-13T10:33:10Z)
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)
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)
Observation-dependent suppression and enhancement of two-photon coincidences by tailored losses [68.8204255655161]
Hong-Ou-Mandel (HOM) effect can lead to a perfect suppression of two-particle coincidences between the output ports of a balanced beam splitter. In this work, we demonstrate experimentally that the two-particle coincidence statistics of two bosons can instead be seamlessly tuned to substantial enhancement. Our findings reveal a new approach to harnessing non-Hermitian settings for the manipulation of multi-particle quantum states.
arXiv Detail & Related papers (2021-05-12T06:47:35Z)
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)
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)

This list is automatically generated from the titles and abstracts of the papers in this site.