Symmetric inseparability and number entanglement in charge conserving mixed states

• URL: http://arxiv.org/abs/2110.09388v3
• Date: Wed, 20 Apr 2022 08:04:10 GMT
• Title: Symmetric inseparability and number entanglement in charge conserving mixed states
• Authors: Zhanyu Ma, Cheolhee Han, Yigal Meir, Eran Sela
• Abstract summary: We argue that even separable states may contain entanglement in fixed charge sectors, as long as the state can not be separated into charge conserving components. We demonstrate that the NE is not only a witness of symmetric inseparability, but also an entanglement monotone.
• Score: 15.57253296268595
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We explore sufficient conditions for inseparability in mixed states with a globally conserved charge, such as a particle number. We argue that even separable states may contain entanglement in fixed charge sectors, as long as the state can not be separated into charge conserving components. As a witness of symmetric inseparability we study the number entanglement (NE), $\Delta S_m$, defined as the entropy change due to a subsystem's charge measurement. Whenever $\Delta S_m > 0$, there exist inseparable charge sectors, having finite (logarithmic) negativity, even when the full state is either separable or has vanishing negativity. We demonstrate that the NE is not only a witness of symmetric inseparability, but also an entanglement monotone. Finally, we study the scaling of $\Delta S_m$ in thermal 1D systems combining high temperature expansion and conformal field theory.

Related papers

• Non-Abelian entanglement asymmetry in random states [0.0]
  We find that for any symmetry group, the average entanglement asymmetry vanishes in the thermodynamic limit when the subsystem is smaller than its complement. For larger subsystem sizes, the entanglement asymmetry displays a logarithmic scaling with a fixed coefficient by the dimension of the group.
  arXiv  Detail & Related papers  (2024-11-20T14:11:07Z)
• Mixed-state quantum anomaly and multipartite entanglement [8.070164241593814]
  We show a surprising connection between mixed state entanglement and 't Hooft anomaly. We generate examples of mixed states with nontrivial long-ranged multipartite entanglement. We also briefly discuss mixed anomaly involving both strong and weak symmetries.
  arXiv  Detail & Related papers  (2024-01-30T19:00:02Z)
• Asymmetry activation and its relation to coherence under permutation operation [53.64687146666141]
  A Dicke state and its decohered state are invariant for permutation. When another qubits state to each of them is attached, the whole state is not invariant for permutation, and has a certain asymmetry for permutation.
  arXiv  Detail & Related papers  (2023-11-17T03:33:40Z)
• Symmetry-enforced many-body separability transitions [0.0]
  We study quantum many-body mixed states with a symmetry from the perspective of separability. We provide evidence for'symmetry-enforced separability transitions' in a variety of states.
  arXiv  Detail & Related papers  (2023-10-11T08:18:51Z)
• Quantum Current and Holographic Categorical Symmetry [62.07387569558919]
  A quantum current is defined as symmetric operators that can transport symmetry charges over an arbitrary long distance. The condition for quantum currents to be superconducting is also specified, which corresponds to condensation of anyons in one higher dimension.
  arXiv  Detail & Related papers  (2023-05-22T11:00:25Z)
• Separability and entanglement of resonating valence-bond states [0.0]
  Rokhsar-Kivelson states describe quantum spin liquids and quantum critical states of matter. For RVB states, we show separability for disconnected subsystems up to exponentially small terms. Our results hold for arbitrary lattices, and encompass a large class of RK and RVB states.
  arXiv  Detail & Related papers  (2022-12-22T14:32:49Z)
• Entanglement resolution of free Dirac fermions on a torus [68.8204255655161]
  We first evaluate the SRE for massless Dirac fermions in a system at finite temperature and size. The charge-dependent entropies turn out to be equally distributed among all the symmetry sectors at leading order.
  arXiv  Detail & Related papers  (2022-12-14T14:54:35Z)
• Non-Abelian symmetry can increase entanglement entropy [62.997667081978825]
  We quantify the effects of charges' noncommutation on Page curves. We show analytically and numerically that the noncommuting-charge case has more entanglement.
  arXiv  Detail & Related papers  (2022-09-28T18:00:00Z)
• Non-Abelian eigenstate thermalization hypothesis [58.720142291102135]
  The eigenstate thermalization hypothesis (ETH) explains why chaotic quantum many-body systems thermalize internally if the Hamiltonian lacks symmetries. We adapt the ETH to noncommuting charges by positing a non-Abelian ETH and invoking the approximate microcanonical subspace introduced in quantum thermodynamics.
  arXiv  Detail & Related papers  (2022-06-10T18:14:18Z)
• Attainability and lower semi-continuity of the relative entropy of entanglement, and variations on the theme [8.37609145576126]
  The relative entropy of entanglement $E_Rite is defined as the distance of a multi-part quantum entanglement from the set of separable states as measured by the quantum relative entropy. We show that this state is always achieved, i.e. any state admits a closest separable state, even in dimensions; also, $E_Rite is everywhere lower semi-negative $lambda_$quasi-probability distribution.
  arXiv  Detail & Related papers  (2021-05-17T18:03:02Z)
• 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)

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.