Multipoles from Majorana constellations

• URL: http://arxiv.org/abs/2401.07904v1
• Date: Mon, 15 Jan 2024 19:00:01 GMT
• Title: Multipoles from Majorana constellations
• Authors: J. L. Romero, A. B. Klimov, A. Z. Goldberg, G. Leuchs and L. L. Sanchez-Soto
• Abstract summary: Majorana stars offer an elegant method to visualize quantum states, disclosing their intrinsic symmetries. We investigate the relationship between Majorana constellations and state multipoles, thus providing insights into the underlying symmetries of the system.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Majorana stars, the $2S$ spin coherent states that are orthogonal to a spin-$S$ state, offer an elegant method to visualize quantum states, disclosing their intrinsic symmetries. These states are naturally described by the corresponding multipoles. These quantities can be experimentally determined and allow for an SU(2)-invariant analysis. We investigate the relationship between Majorana constellations and state multipoles, thus providing insights into the underlying symmetries of the system. We illustrate our approach with some relevant and informative examples.

Related papers

• Chiral Symmetries and Multiparticle Entanglement [0.0]
  We show that chiral symmetries lead to extremal forms of quantum entanglement.<n>Subspaces with this symmetry are highly entangled with respect to the geometric measure of entanglement.<n>We develop a simple method to solve the problem of genuine multiparticle entanglement for unitarily invariant three-particle states.
  arXiv  Detail & Related papers  (2025-06-18T16:38:18Z)
• 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)
• Gaussian Entanglement Measure: Applications to Multipartite Entanglement of Graph States and Bosonic Field Theory [50.24983453990065]
  An entanglement measure based on the Fubini-Study metric has been recently introduced by Cocchiarella and co-workers. We present the Gaussian Entanglement Measure (GEM), a generalization of geometric entanglement measure for multimode Gaussian states. By providing a computable multipartite entanglement measure for systems with a large number of degrees of freedom, we show that our definition can be used to obtain insights into a free bosonic field theory.
  arXiv  Detail & Related papers  (2024-01-31T15:50:50Z)
• Exploring quantum coherence, spin squeezing and entanglement in an extended spin-1/2 XX Chain [0.0]
  We study the ground state phase diagram of the spin-1/2 XX chain model, which features $XZY-YZX$ type three-spin interactions (TSI) Our research unveils diverse regions within the phase diagram, each characterized by coherent, squeezed, or entangled states.
  arXiv  Detail & Related papers  (2024-01-23T05:51:06Z)
• Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain [46.99825956909532]
  Local quantum measurements do not simply disentangle degrees of freedom, but may actually strengthen the entanglement in the system. This paper explores how a finite density of local measurement modifies a given state's entanglement structure.
  arXiv  Detail & Related papers  (2023-10-04T09:51:00Z)
• Orthonormal bases of extreme quantumness [1.1510009152620668]
  Some coherent and anticoherent spin states are known as optimal quantum rotosensors. We introduce a measure of quantumness for orthonormal bases of spin states, determined by the average anticoherence of individual vectors and the Wehrl entropy.
  arXiv  Detail & Related papers  (2023-06-01T10:35:45Z)
• Shape Invariant Potentials in Supersymmetric Quantum Cosmology [0.0]
  shape invariant potentials is an essential feature in many settings of $N=2$ supersymmetric quantum mechanics. We show how shape in property can be employed to bring a relation among several factor orderings choices for our Schr"odinger-Wheeler-DeWitt equation.
  arXiv  Detail & Related papers  (2022-05-31T19:51:21Z)
• Phase diagram of Rydberg-dressed atoms on two-leg square ladders: Coupling supersymmetric conformal field theories on the lattice [52.77024349608834]
  We investigate the phase diagram of hard-core bosons in two-leg ladders in the presence of soft-shoulder potentials. We show how the competition between local and non-local terms gives rise to a phase diagram with liquid phases with dominant cluster, spin, and density-wave quasi-long-range ordering.
  arXiv  Detail & Related papers  (2021-12-20T09:46:08Z)
• Visualizing spinon Fermi surfaces with time-dependent spectroscopy [62.997667081978825]
  We propose applying time-dependent photo-emission spectroscopy, an established tool in solid state systems, in cold atom quantum simulators. We show in exact diagonalization simulations of the one-dimensional $t-J$ model that the spinons start to populate previously unoccupied states in an effective band structure. The dependence of the spectral function on the time after the pump pulse reveals collective interactions among spinons.
  arXiv  Detail & Related papers  (2021-05-27T18:00:02Z)
• Partitioning dysprosium's electronic spin to reveal entanglement in non-classical states [55.41644538483948]
  We report on an experimental study of entanglement in dysprosium's electronic spin. Our findings open up the possibility to engineer novel types of entangled atomic ensembles.
  arXiv  Detail & Related papers  (2021-04-29T15:02:22Z)
• Symmetry from Entanglement Suppression [0.0]
  We show that a minimally entangling $S$-matrix would give rise to global symmetries. For $N_q$ species of qubit, the Identity gate is associated with an $[SU(2)]N_q$ symmetry.
  arXiv  Detail & Related papers  (2021-04-22T02:50:10Z)
• Symmetric Multiqudit States: Stars, Entanglement, Rotosensors [0.0]
  A constellation of $N=d-1$ Majorana stars represents an arbitrary pure quantum state of dimension $d$ or a permutation-symmetric state of a system consisting of $n$ qubits. We show how the tools introduced can be used to analyze multipartite entanglement and to identify optimal quantum rotosensors.
  arXiv  Detail & Related papers  (2021-03-04T02:12:17Z)

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.