Phase diagram and quench dynamics of the Cluster-XY spin chain

Abstract

We study the complete phase space and the quench dynamics of an exactly solvable spin chain, the cluster-XY model. In this chain, the cluster term and the XY couplings compete to give a rich phase diagram. The phase diagram is studied by means of the quantum geometric tensor. We study the time evolution of the system after a critical quantum quench using the Loschmidt echo. The structure of the revivals after critical quantum quenches presents a non trivial behavior depending on the phase of the initial state and the critical point.

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References in corpus (22)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Dynamics of Loschmidt echoes and fidelity decay
• Quantum critical scaling of the geometric tensors
• Propagation of Correlations in Quantum Lattice Systems
• Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
• Affleck-Kennedy-Lieb-Tasaki State on a Honeycomb Lattice is a Universal Quantum Computational Resource
• Quantum Adiabatic Brachistochrone
• Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a transverse field
• Statistical mechanics of the Cluster-Ising model
• Identifying phases of quantum many-body systems that are universal for quantum computation
• Quantum phase transition between cluster and antiferromagnetic states
• Quantum computational capability of a 2D valence bond solid phase
• Exact infinite-time statistics of the Loschmidt echo for a quantum quench
• Topological order in 1D Cluster state protected by symmetry
• A simple nearest-neighbor two-body Hamiltonian system for which the ground state is a universal resource for quantum computation
• Phase transitions and localizable entanglement in cluster-state spin chains with Ising couplings and local fields
• Lieb-Robinson bounds and the speed of light from topological order
• Scaling of ground state fidelity in the thermodynamic limit: XY model and beyond
• Oscillating fidelity susceptibility near a quantum multicritical point
• Symmetry protected topological orders of 1D spin systems with D2+T symmetry

Cited by in corpus (53)

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• Recoverable Information and Emergent Conservation Laws in Fracton Stabilizer Codes
• Dynamical signature of localization-delocalization transition in one-dimensional incommensurate lattice
• Quantum quench dynamics in Dicke superradiance models
• Disordered Kitaev chain with long-range pairing: Loschmidt echo revivals and dynamical phase transitions
• Realizing all $so(N{)}_1$ quantum criticalities in symmetry protected cluster models
• Overlap distributions for quantum quenches in the anisotropic Heisenberg chain
• Topological and nematic ordered phases in many-body cluster-Ising models
• Quench dynamics and ground state fidelity of the one-dimensional extended quantum compass model in a transverse field
• MERA for Spin Chains with Continuously Varying Criticality
• Quench echo and work statistics in integrable quantum field theories
• On the possibility of complete revivals after quantum quenches to a critical point
• Dynamical quantum correlations after sudden quenches
• Infinite number of solvable generalizations of XY-chain, with cluster state, and with central charge c=m/2
• Complexity, Information Geometry, and Loschmidt Echo near Quantum Criticality
• Scaling of geometric phase versus band structure in cluster-Ising models
• Quasiclassical approach to quantum quench dynamics in the presence of an excited-state quantum phase transition
• Scalable characterization of localizable entanglement in noisy topological quantum codes
• n-cluster models in a transverse magnetic field
• Estimating localizable entanglement from witnesses
• Return amplitude after a quantum quench in the XY chain
• Gapped Quantum Criticality Gains Long Time Quantum Correlations
• Simulating long-distance entanglement in quantum spin chains by superconducting flux qubits
• Dynamics of coherence: Maximal quantum Fisher information vs. Loschmidt echo
• Resilience of the topological phases to frustration
• Odd thermodynamic limit for the Loschmidt echo
• Symmetry fractionalization: Symmetry-protected topological phases of the bond-alternating spin-$1/2$ Heisenberg chain
• Exact solution of a cluster model with next-nearest-neighbor interaction
• Constructing Landau framework for topological order: Quantum chains and ladders
• Thermalization of Topological Entropy after a Quantum Quench
• Entanglement dynamics and phase transitions of the Floquet cluster spin chain
• Interplay of entanglement structures and stabilizer entropy in spin models
• Quantum geometric tensor away from Equilibrium
• Phase diagram and sweep dynamics of a one-dimensional generalized cluster model
• Geometric Entanglement and Quantum Phase Transition in Generalized Cluster-XY models
• Distinguishing Phases via Non-Markovian Dynamics of Entanglement in Topological Quantum Codes under Parallel Magnetic Field
• Controlling gain with loss: Bounds on localizable entanglement in multi-qubit systems
• Ising versus $SU(2{)}_2$ string-net ladder
• Reduced fidelities for free fermions out of equilibrium: From dynamical quantum phase transitions to Mpemba effect
• The global phase diagram of the cluster-XY spin chain with dissipation
• Localizing genuine multiparty entanglement in noisy stabilizer states
• Recovery of resources through sequential noisy measurements
• The fate of local order in topologically frustrated spin chains
• Loschmidt echo and Momentum Distribution in a Kitaev Spin Chain
• Logarithmic growth of peripheral entanglement concentrated via noisy measurements in a star network of spins
• Topological phases of the compass ladder model
• Emergent gapless spiral phases and conformal Lifshitz criticality in the cluster Ising model with off-diagonal interactions
• Entanglement transition in a cluster spin chain coupled with free spins
• Emergence of long-range entanglement and odd-even effect in periodic generalized quantum cluster models
• Towards a Geometrization of Quantum Complexity and Chaos