Entanglement and U(D)-spin squeezing in symmetric multi-quDit systems and applications to quantum phase transitions in Lipkin-Meshkov-Glick D-level atom models

• URL: http://arxiv.org/abs/2104.10581v1
• Date: Wed, 21 Apr 2021 15:19:43 GMT
• Title: Entanglement and U(D)-spin squeezing in symmetric multi-quDit systems and applications to quantum phase transitions in Lipkin-Meshkov-Glick D-level atom models
• Authors: Manuel Calixto, Alberto Mayorgas and Julio Guerrero
• Abstract summary: Collective spin operators for symmetric multi-quDit systems generate a U$(D)$ symmetry. We explore generalizations to arbitrary $D$ of SU(2)-spin coherent states and their adaptation to parity. We evaluate level and particle entanglement for symmetric multi-quDit states with linear and von Neumann entropies.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Collective spin operators for symmetric multi-quDit (namely, identical $D$-level atom) systems generate a U$(D)$ symmetry. We explore generalizations to arbitrary $D$ of SU(2)-spin coherent states and their adaptation to parity (multicomponent Schr\"odinger cats), together with multi-mode extensions of NOON states. We write level, one- and two-quDit reduced density matrices of symmetric $N$-quDit states, expressed in the last two cases in terms of collective U$(D)$-spin operator expectation values. Then we evaluate level and particle entanglement for symmetric multi-quDit states with linear and von Neumann entropies of the corresponding reduced density matrices. In particular, we analyze the numerical and variational ground state of Lipkin-Meshkov-Glick models of $3$-level identical atoms. We also propose an extension of the concept of SU(2) spin squeezing to SU$(D)$ and relate it to pairwise $D$-level atom entanglement. Squeezing parameters and entanglement entropies are good markers that characterize the different quantum phases, and their corresponding critical points, that take place in these interacting $D$-level atom models.

Related papers

• Geometry of degenerate quantum states, configurations of $m$-planes and invariants on complex Grassmannians [55.2480439325792]
  We show how to reduce the geometry of degenerate states to the non-abelian connection $A$. We find independent invariants associated with each triple of subspaces. Some of them generalize the Berry-Pancharatnam phase, and some do not have analogues for 1-dimensional subspaces.
  arXiv  Detail & Related papers  (2024-04-04T06:39:28Z)
• Ancilla quantum measurements on interacting chains: Sensitivity of entanglement dynamics to the type and concentration of detectors [46.76612530830571]
  We consider a quantum many-body lattice system that is coupled to ancillary degrees of freedom (detectors'') We explore the dynamics of density and of entanglement entropy in the chain, for various values of $rho_a$ and $M$.
  arXiv  Detail & Related papers  (2023-11-21T21:41:11Z)
• Sequential sharing of two-qudit entanglement based on the entropic uncertainty relation [15.907303576427644]
  Entanglement and uncertainty relation are two focuses of quantum theory. We relate entanglement sharing to the entropic uncertainty relation in a $(dtimes d)$-dimensional system via weak measurements with different pointers.
  arXiv  Detail & Related papers  (2023-04-12T12:10:07Z)
• Localization measures of parity adapted U($D$)-spin coherent states applied to the phase space analysis of the $D$-level Lipkin-Meshkov-Glick model [0.0]
  We study phase-space properties of critical, parity symmetric, $N$-quDit systems undergoing a quantum phase transition. For finite $N$, parity can be restored by projecting DSCS onto $2D-1$ different parity invariant subspaces. Pres of the QPT are then visualized for finite $N$ by plotting the Husimi function of these parity projected DSCS in phase space.
  arXiv  Detail & Related papers  (2023-02-13T10:51:19Z)
• Schmidt decomposition of parity adapted coherent states for symmetric multi-quDits [0.0]
  We study the entanglement in symmetric $N$-quDit systems using generalizations to $U(D)$ of spin $U(2)$ coherent states. Diverse properties of the Schmidt eigenvalues are studied and, in particular, for the (rescaled) double thermodynamic limit ($N,Mrightarrowinfty,,M/N$ fixed), we reproduce and generalize quDits known results for photon loss of parity adapted coherent states.
  arXiv  Detail & Related papers  (2023-01-22T20:15:49Z)
• Multipartite entangled states in dipolar quantum simulators [0.0]
  We show that the native Hamiltonian dynamics of state-of-the-art quantum simulation platforms can act as a robust source of multipartite entanglement. Our results suggest that the native Hamiltonian dynamics of state-of-the-art quantum simulation platforms, such as Rydberg-atom arrays, can act as a robust source of multipartite entanglement.
  arXiv  Detail & Related papers  (2022-05-08T16:23:48Z)
• Eigenstates of two-level systems in a single-mode quantum field: from quantum Rabi model to $N$-atom Dicke model [0.0]
  We show that the Hamiltonian describing the resonant interaction of $N$ two-level systems with a single-mode electromagnetic quantum field in the Coulomb gauge can be diagonalized with a high degree of accuracy.
  arXiv  Detail & Related papers  (2022-02-07T22:14:13Z)
• Information diagrams in the study of entanglement in symmetric multi-quDit systems and applications to quantum phase transitions in Lipkin-Meshkov-Glick D-level atom models [0.0]
  We study entanglement in symmetric multi-quDit systems. We use generalizations to U(D) of spin U(2) coherent states and their adaptation to parity.
  arXiv  Detail & Related papers  (2021-11-29T11:13:07Z)
• Annihilating Entanglement Between Cones [77.34726150561087]
  We show that Lorentz cones are the only cones with a symmetric base for which a certain stronger version of the resilience property is satisfied. Our proof exploits the symmetries of the Lorentz cones and applies two constructions resembling protocols for entanglement distillation.
  arXiv  Detail & Related papers  (2021-10-22T15:02:39Z)
• Boundary time crystals in collective $d$-level systems [64.76138964691705]
  Boundary time crystals are non-equilibrium phases of matter occurring in quantum systems in contact to an environment. We study BTC's in collective $d$-level systems, focusing in the cases with $d=2$, $3$ and $4$.
  arXiv  Detail & Related papers  (2021-02-05T19:00:45Z)
• A dissymmetric [Gd$_{2}$] coordination molecular dimer hosting six addressable spin qubits [35.037949257476065]
  We design, synthesize and fully characterize dissymetric molecular dimers hosting either one or two Gd(III) ions. The [LaGd] and [GdLu] complexes provide realizations of distinct $d = 8$ spin qudits. Experiments show that the relevant resonant transitions between different spin states can be coherently controlled.
  arXiv  Detail & Related papers  (2020-06-15T16:35:31Z)

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.