Quantum transitions driven by one-bond defects in quantum Ising rings

Abstract

We investigate quantum scaling phenomena driven by lower-dimensional defects in quantum Ising-like models. We consider quantum Ising rings in the presence of a bond defect. In the ordered phase, the system undergoes a quantum transition driven by the bond defect between a magnet phase, in which the gap decreases exponentially with increasing size, and a kink phase, in which the gap decreases instead with a power of the size. Close to the transition, the system shows a universal scaling behavior, which we characterize by computing, either analytically or numerically, scaling functions for the gap, the susceptibility, and the two-point correlation function. We discuss the implications of these results for the nonequilibrium dynamics in the presence of a slowly-varying parallel magnetic field h, when going across the first-order quantum transition at h=0.

5 pages

References in corpus (21)

• Unpaired Majorana fermions in quantum wires
• New directions in the pursuit of Majorana fermions in solid state systems
• Nonequilibrium dynamics of closed interacting quantum systems
• Quantum Annealing in the Transverse Ising Model
• A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
• Dynamics of a Quantum Phase Transition
• Dynamics of quantum phase transition: exact solution in quantum Ising model
• Universal adiabatic dynamics across a quantum critical point
• Breakdown of the adiabatic limit in low dimensional gapless systems
• Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
• The Kibble-Zurek Problem: Universality and the Scaling Limit
• A Numerical Study of the Random Transverse-Field Ising Spin Chain
• First order phase transition in the Quantum Adiabatic Algorithm
• Non-equilibrium dynamic critical scaling of the quantum Ising chain
• Dynamics after a sweep through a quantum critical point
• Inhomogeneous Systems with Unusual Critical Behaviour
• First Order Quantum Phase Transition in Adiabatic Quantum Computation
• Finite-size scaling at quantum transitions
• The quantum adiabatic algorithm and scaling of gaps at first order quantum phase transitions
• Finite-size scaling at first-order quantum transitions
• Scaling phenomena driven by inhomogeneous conditions at first-order quantum transitions

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• Coherent and dissipative dynamics at quantum phase transitions
• Quantum Ising chains with boundary fields
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• The Frustration of being Odd: Universal Area Law violation in local systems
• Out-of-equilibrium dynamics driven by localized time-dependent perturbations at quantum phase transitions
• Scaling properties of work fluctuations after quenches at quantum transitions
• Scaling properties of the dynamics at first-order quantum transitions when boundary conditions favor one of the two phases
• Off-equilibrium scaling behaviors driven by time-dependent external fields in three-dimensional O(N) vector models
• Finite-size scaling at first-order quantum transitions when boundary conditions favor one of the two phases
• Effects of defects in the XY chain with frustrated boundary conditions
• Off-equilibrium scaling behaviors across first-order transitions
• Decoherence dynamics of qubits coupled to systems at quantum transitions
• Anomalous behavior of the energy gap in the one-dimensional quantum XY model
• Anomalous finite-size scaling at thermal first-order transitions in systems with disordered boundary conditions
• Scaling of decoherence and energy flow in interacting quantum spin systems
• Rigorous proof for the non-local correlation functions in the antiferromagnetic seamed transverse Ising ring
• Odd thermodynamic limit for the Loschmidt echo
• Ring frustration and factorizable correlation functions of critical spin rings
• Topological Frustration can modify the nature of a Quantum Phase Transition
• Long-range entanglement and topological excitations
• Towards a phase diagram of the topologically frustrated XY chain
• Error measurements for a quantum annealer using the one-dimensional Ising model with twisted boundaries
• Universal scaling in quenches across a discontinuity critical point
• Out-of-equilibrium dynamics across the first-order quantum transitions of one-dimensional quantum Ising models
• Critical crossover phenomena driven by symmetry-breaking defects at quantum transitions
• Asymptotic behavior of Toeplitz determinants with a delta function singularity
• Lattice Defects in Rydberg Atom Arrays
• Quaternary Jordan-Wigner mapping and topological extended-kink phase in the interacting Kitaev ring
• Controlling phase diagram of finite spin-$1/2$ chains by tuning boundary interactions
• Impurity-driven transitions in frustrated quantum Ising ring
• Quantum Coherence of Topologically Frustrated Spin Chains
• Nonlocal behaviors of spin correlations in the Haldane-Shastry model
• Quantum critical behaviors and decoherence of weakly coupled quantum Ising models within an isolated global system
• Spacetime Supersymmetry in the Truncated Lattice Schwinger Model
• The quantum XY chain with boundary fields: finite-size gap and phase behavior
• Boundary-induced singularity in strongly-correlated quantum systems at finite temperature
• The fate of local order in topologically frustrated spin chains
• Quantum quenches across continuous and first-order quantum transitions in one-dimensional quantum Ising models
• Quantum many-body spin rings coupled to ancillary spins: The sunburst quantum Ising model