Magic phase transition and non-local complexity in generalized $W$ State

• URL: http://arxiv.org/abs/2406.19457v1
• Date: Thu, 27 Jun 2024 18:00:06 GMT
• Title: Magic phase transition and non-local complexity in generalized $W$ State
• Abstract summary: We employ the Stabilizer Renyi Entropy (SRE) to characterize a quantum phase transition. We show that SRE has a jump at the crossing points, while the entanglement entropy remains continuous.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We employ the Stabilizer Renyi Entropy (SRE) to characterize a quantum phase transition that has so far eluded any standard description and can thus now be explained in terms of the interplay between its non-stabilizer properties and entanglement. The transition under consideration separates a region with a unique ground state from one with a degenerate ground state manifold spanned by states with finite and opposite (intensive) momenta. We show that SRE has a jump at the crossing points, while the entanglement entropy remains continuous. Moreover, by leveraging on a Clifford circuit mapping, we connect the observed jump in SRE to that occurring between standard and generalized $W$-states with finite momenta. This mapping allows us to quantify the SRE discontinuity analytically.

Related papers

• Quantum Trajectory Entanglement in Seeded Boundary Time Crystals [46.94763753277221]
  entanglement spreads among different spin ensembles when a BTC attempts to seed its time-crystalline behavior onto otherwise static spin ensembles.<n>We analyse both the dynamical growth of entanglement in time and the steady-state properties of the system.<n>These findings establish dissipative seeding as a powerful mechanism for controlling quantum correlations in open many-body systems.
  arXiv  Detail & Related papers  (2026-07-01T18:00:08Z)
• Entanglement Pattern Transition of Quantum States from Directed Percolation [0.007496778384043148]
  Changes in the entanglement structure and critical phenomena are hallmarks of quantum phase transitions.<n>We show how they appear in transitions between classes of states with distinct entanglement patterns beyond the paradigm of stable equilibrium phases of matter.<n>Our results demonstrate how the correspondence between isoTNS and classical evolution can be used to probe the space structure beyond stable ground state.
  arXiv  Detail & Related papers  (2026-05-25T18:00:04Z)
• Reduced-State Stabilizer Rényi Entropy as a Probe of Quantum Criticality in the Transverse ANNNI Model and the Quantum Compass Model [8.186733867414121]
  Rényi entropy (SRE) is a quantifier associated with non-stabilizer resources (quantum magic)<n>We analyze the behavior of the purity-corrected SRE of reduced density matrices in two one-dimensional spin models.<n>Our results establish SRE of reduced states as a complementary probe of quantum criticality.
  arXiv  Detail & Related papers  (2026-05-18T13:38:46Z)
• Local measurements and the entanglement transition in quantum spin chains [0.0]
  We consider the transition between short-range entangled (SRE) and long-range ordered (and therefore long-range entangled) states of infinite quantum spin chains.<n>We show that the on-site measurements of the local $G$-charge on intervals of increasing lengths transform the initial SRE state into a family of states with increasingly long-range correlations.
  arXiv  Detail & Related papers  (2026-02-05T17:28:35Z)
• Survival of Hermitian Criticality in the Non-Hermitian Framework [2.7082307455543337]
  We investigate many-body phase transitions in a one-dimensional anisotropic XY model subject to a complex-valued transverse field.<n>Within the biorthogonal framework, we calculate the ground-state correlation functions and entanglement entropy, confirming that their scaling behavior remains identical to that in the Hermitian XY model.
  arXiv  Detail & Related papers  (2025-11-15T14:55:14Z)
• Stabilizer Rényi Entropy and its Transition in the Coupled Sachdev-Ye-Kitaev Model [21.14519574861178]
  We study the study of quantum magic using the stabilizer R'enyi entropy (SRE)<n>We uncover an intrinsic transition of the SRE that cannot be detected through thermodynamic quantities.<n>Our results pave the way for studying the SRE in strongly correlated fermionic systems in the thermodynamic limit.
  arXiv  Detail & Related papers  (2025-09-22T07:08:35Z)
• Magic transition in monitored free fermion dynamics [11.25698763510275]
  We investigate magic and its connection to entanglement in 1+1 dimensional random free fermion circuits.<n>To quantify magic, we use the Stabilizer R'enyi Entropy (SRE), which we compute numerically via a perfect sampling algorithm.<n>We show that although the SRE remains extensive as the system transitions from a critical phase to an area-law (disentangled) phase, the structure of magic itself undergoes a delocalization phase transition.
  arXiv  Detail & Related papers  (2025-07-14T18:04:25Z)
• Topological Phase Transitions and Mixed State Order in a Hubbard Quantum Simulator [36.556659404501914]
  Topological phase transitions challenge conventional paradigms in many-body physics.<n>We observe such a transition between one-dimensional crystalline symmetry-protected topological phases.<n>Our results demonstrate how topology and information influence quantum phase transitions.
  arXiv  Detail & Related papers  (2025-05-22T17:58:35Z)
• Symmetries, Conservation Laws and Entanglement in Non-Hermitian Fermionic Lattices [37.69303106863453]
  Non-Hermitian quantum many-body systems feature steady-state entanglement transitions driven by unitary dynamics and dissipation. We show that the steady state is obtained by filling single-particle right eigenstates with the largest imaginary part of the eigenvalue. We illustrate these principles in the Hatano-Nelson model with periodic boundary conditions and the non-Hermitian Su-Schrieffer-Heeger model.
  arXiv  Detail & Related papers  (2025-04-11T14:06:05Z)
• Powering a quantum clock with a non-equilibrium steady state [50.24983453990065]
  We propose powering a quantum clock with the non-thermal resources offered by the stationary state of an integrable quantum spin chain. Using experimentally relevant examples of quantum spin chains, we suggest crossing a phase transition point is crucial for optimal performance.
  arXiv  Detail & Related papers  (2024-12-17T17:25:11Z)
• Mixed-state phase transitions in spin-Holstein models [5.900087161838199]
  This work aims to extend the notion of mixed-state phases to the realm of coupled electron/spinphonon systems. We consider a two-dimensional cluster Hamiltonian locally coupled to a set of single bosonic modes with arbitrary coupling strength. We argue that both measures detect signatures of mixed-state phase transitions, albeit at different critical spin-phonon coupling strengths.
  arXiv  Detail & Related papers  (2024-12-03T18:10:10Z)
• Gapless Floquet topology [40.2428948628001]
  We study the existence of topological edge zero- and pi-modes despite the lack of bulk gaps in the quasienergy spectrum. We numerically study the effect of interactions, which give a finite lifetime to the edge modes in the thermodynamic limit with the decay rate consistent with Fermi's Golden Rule.
  arXiv  Detail & Related papers  (2024-11-04T19:05:28Z)
• State Dependent Spread Complexity Dynamics in Many-Body Localization Transition [0.0]
  We characterize the Many-Body Localization (MBL) phase transition using the dynamics of spread complexity and inverse participation ratio in the Krylov space. Our work sheds light on the efficacy of Krylov space dynamics in understanding phase transitions in quantum many-body systems.
  arXiv  Detail & Related papers  (2024-09-03T18:00:11Z)
• Quasiperiodicity protects quantized transport in disordered systems without gaps [0.0]
  We observe quantized currents that survive the addition of bounded local disorder in a driven Aubry-Andr'e-Harper chain. We propose a protocol, directly realizable in for instance cold atoms or photonic experiments, which leverages this stability to prepare topological many-body states with high Chern numbers.
  arXiv  Detail & Related papers  (2024-07-09T17:11:48Z)
• Stability of mixed-state quantum phases via finite Markov length [0.0]
  We propose Markov length, the length scale at which the quantum conditional mutual information (CMI) decays exponentially. We show that the Markov length is finite everywhere except at its decodability transition, at which it diverges. This implies that the mixed state phase transition coincides with the decodability transition and also suggests a quasi-local decoding channel.
  arXiv  Detail & Related papers  (2024-04-10T18:00:00Z)
• 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)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• Complexity of frustration: a new source of non-local non-stabilizerness [0.0]
  We advance the characterization of complexity in quantum many-body systems by examining $W$-states embedded in a spin chain. Our work reveals that $W$-states/frustrated ground states display a non-local degree of complexity that can be harvested as a quantum resource.
  arXiv  Detail & Related papers  (2022-09-21T17:59:40Z)
• Topological transitions with continuously monitored free fermions [68.8204255655161]
  We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
  arXiv  Detail & Related papers  (2021-12-17T22:01:54Z)
• Observation of Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
  Quantum-body systems display rich phase structure in their low-temperature equilibrium states. We experimentally observe an eigenstate-ordered DTC on superconducting qubits. Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
  arXiv  Detail & Related papers  (2021-07-28T18:00:03Z)
• SYK meets non-Hermiticity II: measurement-induced phase transition [16.533265279392772]
  We analytically derive the effective action in the large-$N$ limit and show that an entanglement transition is caused by the symmetry breaking in the enlarged replica space. We also verify the large-$N$ critical exponents by numerically solving the Schwinger-Dyson equation.
  arXiv  Detail & Related papers  (2021-04-16T17:55:08Z)
• Robustness and Independence of the Eigenstates with respect to the Boundary Conditions across a Delocalization-Localization Phase Transition [15.907303576427644]
  We focus on the many-body eigenstates across a localization-delocalization phase transition. In the ergodic phase, the average of eigenstate overlaps $barmathcalO$ is exponential decay with the increase of the system size. For localized systems, $barmathcalO$ is almost size-independent showing the strong robustness of the eigenstates.
  arXiv  Detail & Related papers  (2020-05-19T10:19:52Z)

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.