Bloch oscillations and the lack of the decay of the false vacuum in a one-dimensional quantum spin chain

Abstract

We consider the decay of the false vacuum, realised within a quantum quench into an anti-confining regime of the Ising spin chain with a magnetic field opposite to the initial magnetisation. Although the effective linear potential between the domain walls is repulsive, the time evolution of correlations still shows a suppression of the light cone and a reduction of vacuum decay. The suppressed decay is a lattice effect, and can be assigned to emergent Bloch oscillations.

12 pages, 6 figures, pdflatex file. v2: 14 pages, new material and references added, improved discussion, main results and conclusions unchanged. v3: 17 pages, 7 figures. Extended and revised version, further discussion of methods and results added. v4: resubmission to Scipost, changes in introduction and conclusions

References in corpus (16)

• Probing many-body dynamics on a 51-atom quantum simulator
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Quantum Quench in the Transverse Field Ising Chain
• Experimental Observation of a Generalized Gibbs Ensemble
• Strong and weak thermalization of infinite non-integrable quantum systems
• Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
• "Light-cone" dynamics after quantum quenches in spin chains
• Time evolution of correlations in strongly interacting fermions after a quantum quench
• False vacuum decay in quantum spin chains
• Quasiparticle explanation of "weak thermalization" regime under quench in a non-integrable quantum spin chain
• Confinement and Entanglement Dynamics on a Digital Quantum Computer
• Energy spectrum of bound-spinons in the quantum Ising spin-chain ferromagnet
• Non-adiabatic dynamics across a first order quantum phase transition: Quantized bubble nucleation
• Simulating cosmological supercooling with a cold atom system
• Emergent Bloch oscillations in a kinetically constrained Rydberg spin lattice
• Simulation of Dynamical Quantum Phase Transition of the 1D Transverse Ising Model with a Double-chain Bose-Hubbard model

Cited by in corpus (22)

• Prethermalization in one-dimensional quantum many-body systems with confinement
• Fragmentation and emergent integrable transport in the weakly tilted Ising chain
• Entanglement dynamics in confining spin chains
• Confinement and Kink Entanglement Asymmetry on a Quantum Ising Chain
• Dynamical hadron formation in long-range interacting quantum spin chains
• Variations on vacuum decay: the scaling Ising and tricritical Ising field theories
• Interface dynamics in the two-dimensional quantum Ising model
• False vacuum decay in the 1+1 dimensional ${\phi }^4$ theory
• Detecting a long lived false vacuum with quantum quenches
• Stirring the false vacuum via interacting quantized bubbles on a 5564-qubit quantum annealer
• Confinement induced impurity states in spin chains
• Monte Carlo matrix-product-state approach to the false vacuum decay in the monitored quantum Ising chain
• Theory of metastable states in many-body quantum systems
• Constrained dynamics and confinement in the two-dimensional quantum Ising model
• Entanglement propagation and dynamics in non-additive quantum systems
• Ising Meson Spectroscopy on a Noisy Digital Quantum Simulator
• Long-lived oscillations of metastable states in neutral atom systems
• Discrete Abelian lattice gauge theories on a ladder and their dualities with quantum clock models
• Escaping fronts in local quenches of a confining spin chain
• Fractionalized holes in one-dimensional ${\mathbb{Z}}_2$ gauge theory coupled to fermion matter -- deconfined dynamics and emergent integrability
• State-dependent mobility edge in kinetically constrained models
• Confinement and false vacuum decay on the Potts quantum spin chain