Decoherence in the dynamical quantum phase transition of the transverse Ising chain

Abstract

For the prototypical example of the Ising chain in a transverse field, we study the impact of decoherence on the sweep through a second-order quantum phase transition. Apart from the advance in the general understanding of the dynamics of quantum phase transitions, these findings are relevant for adiabatic quantum algorithms due to the similarities between them. It turns out that (in contrast to first-order transitions studied previously) the impact of decoherence caused by a weak coupling to a rather general environment increases with system size (i.e., number of spins/qubits), which might limit the scalability of the system.

4 pages, 1 figure, minor clarifications

References in corpus (18)

• Entanglement in quantum critical phenomena
• 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
• Quantum Search by Local Adiabatic Evolution
• Robustness of adiabatic quantum computation
• The simplest quantum model supporting the Kibble-Zurek mechanism of topological defect production: Landau-Zener transitions from a new perspective
• Quench dynamics across quantum critical points
• Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
• Sweeping from the superfluid to Mott phase in the Bose-Hubbard model
• Quantum search by measurement
• Adiabatic quantum algorithms as quantum phase transitions: first versus second order
• Dynamical zero-temperature phase transitions and cosmic inflation/deflation
• General error estimate for adiabatic quantum computing
• Adiabatic quantum computation and quantum phase transitions
• Robustness of adiabatic passage trough a quantum phase transition
• Dynamical phase transitions and temperature induced quantum correlations in an infinite spin chain
• Non-Markovian decoherence in the adiabatic quantum search algorithm

Cited by in corpus (29)

• Nonequilibrium dynamics of closed interacting quantum systems
• Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
• Adiabatic dynamics in open quantum critical many-body systems
• Direct observation of quantum criticality in Ising spin chains
• Quench dynamics and zero-energy modes: the case of the Creutz model
• Critical dynamics of decoherence
• Decoherence in adiabatic quantum computation
• Relaxation, pre-thermalization and diffusion in a noisy Quantum Ising Chain
• Dynamics of an inhomogeneous quantum phase transition
• Non-Equilibrium Dynamics of a Noisy Quantum Ising Chain: statistics of the work and prethermalization after a sudden quench of the transverse field
• Phase Transition in Space: How Far Does a Symmetry Bend Before It Breaks?
• Quantum simulator for the Ising model with electrons floating on a helium film
• Decoherence from spin environments: Loschmidt echo and quasiparticle excitations
• Criticality in transport through the quantum Ising chain
• Adiabatic preparation without Quantum Phase Transitions
• Adiabatic dynamics of an inhomogeneous quantum phase transition: the case of z > 1 dynamical exponent
• Nonadiabatic dynamics of the excited states for the Lipkin-Meshkov-Glick model
• Dynamics of a quantum phase transition with decoherence: the quantum Ising chain in a static spin environment
• Driven quantum spin chain in the presence of noise: Anti-Kibble-Zurek behavior
• One-half of the Kibble-Zurek quench followed by free evolution
• Dynamics of longitudinal magnetization in transverse-field quantum Ising model: from symmetry-breaking gap to Kibble-Zurek mechanism
• Locating quantum critical points with Kibble-Zurek quenches
• Gapped Quantum Criticality Gains Long Time Quantum Correlations
• Thermalization dynamics close to a quantum phase transition
• Decoherence in the quantum Ising model with transverse dissipative interaction in the strong coupling regime
• Dynamical quantum phase transitions
• Decoherence in a dynamical quantum phase transition
• Decoherence and relaxation of topological states in extended quantum Ising models
• Polaron-transformed dissipative Lipkin-Meshkov-Glick Model