Zeno physics of the Ising chain with symmetry-breaking boundary dephasing
arXiv:2404.04255 · doi:10.1103/PhysRevB.111.014316
Abstract
In few-qubit systems, the quantum Zeno effect arises when measurement occurs sufficiently frequently that the spins are unable to relax between measurements. This can compete with Hamiltonian terms, resulting in interesting relaxation processes which depend non-monotonically on the ratio of measurement rate to coherent oscillations. While Zeno physics for a single qubit is well-understood, an interesting open question is how the Zeno effect is modified by coupling the measured spin to a non-trivial bulk. In this work, we study the effect of coupling a one-dimensional transverse field Ising to a Zeno spin which lives at the boundary. We find that sharp singularities occur in the boundary relaxation dynamics, which can be tied to the emergence or destruction of edge modes that can be found analytically. Finally, we provide numerical evidence that the dynamical singularities are stable in the presence of integrability-breaking interactions.
References in corpus (28)
- Superconducting Qubits: Current State of Play
- Trapped-Ion Quantum Computing: Progress and Challenges
- Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
- Keldysh Field Theory for Driven Open Quantum Systems
- Ultrafast many-body interferometry of impurities coupled to a Fermi sea
- The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
- From the quantum Zeno to the inverse quantum Zeno effect
- Ultracold atoms out of equilibrium
- Engineered Dissipation for Quantum Information Science
- Impurity scattering and transport of fractional Quantum Hall edge state
- Time dependent impurity in ultracold fermions: orthogonality catastrophe and beyond
- Scalable Dissipative Preparation of Many-Body Entanglement
- Dissipative preparation of Chern insulators
- Finite-size scaling at quantum transitions
- Fluctuation-Induced Quantum Zeno Effect
- Non-Gaussian correlations imprinted by local dephasing in fermionic wires
- Quantum Antiferromagnets in Two Dimensions
- Orthogonality catastrophe in dissipative quantum many body systems
- Quantum Ising chains with boundary fields
- Robustness of Majorana edge modes and topological order -- exact results for the symmetric interacting Kitaev chain with disorder
- Generalized Adiabatic Theorem and Strong-Coupling Limits
- Universal Dynamics of Stochastically Driven Quantum Impurities
- Universal nonequilibrium signatures of Majorana zero modes in quench dynamics
- Quantum Ising chain with boundary dephasing
- Local Quench, Majorana Zero Modes, and Disturbance Propagation in the Ising chain
- Exact solution of the boundary-dissipated transverse field Ising model: Structure of Liouvillian spectrum and dynamical duality
- Universal scaling of a classical impurity in the quantum Ising chain
- Counting edge modes via dynamics of boundary spin impurities