Dynamical Quantum Phase Transitions in presence of a spin bath

Abstract

We derive an effective time independent Hamiltonian for the transverse Ising model coupled to a spin bath, in the presence of a high frequency AC magnetic field. We show that the spin blocking mechanism that removes the quantum phase transition can be suppressed by the AC field, allowing high tunability of the quantum critical point. Finally, we calculate the phase diagram within the RPA approximation for the case of spin $7/2$ nuclei, appropriate to the $LiH{o}_x{Y}_{1-x}{F}_4$ system.

11 pages, 2 figures and Appendix

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Cited by in corpus (4)

• A bulk-boundary correspondence for dynamical phase transitions in one-dimensional topological insulators and superconductors
• Designing adiabatic time-evolution from high frequency bichromatic sources
• Hierarchy of correlations for the Ising model in the Majorana representation
• Thermodynamics of a Quantum Ising system coupled to a spin bath: Zero Temperature Results