Cavity-assisted dynamical quantum phase transition in superconducting quantum simulators

Xiu–Hao Deng, Chunjing Jia

Lin Tian

Coupling a quantum many-body system to a cavity can create bifurcation points in its phase diagram, where the ground state makes sudden switchings between different phases. Here we study the dynamical quantum phase transition of a transverse field Ising model coupled to a cavity. We show that an infinitesimal quench of the cavity driving at the bifurcation points induces gradual evolution of the Ising model to pass across the quantum critical point and excites quasiparticles. Meanwhile, when the driving is slowly ramped through the bifurcation points, the adiabaticity of the evolution and the number of quasiparticle excitations are strongly affected by cavity-induced nonlinearity. Introducing and manipulating cavity-induced nonlinearity hence provide an effective approach to control the dynamics and the adiabaticity of adiabatic quantum processes. This model can be implemented with superconducting quantum circuits.

Robert J. Lewis-Swan, Diego Barberena, Juan A. Muniz +4 more

Xue-Yi Guo, Chao Yang, Yu Zeng +7 more

Quantum information helping condensed matter research: A dynamical quantum phase transition can occur during the time evolution of a suddenly quenched quantum system, in analogy to the nonanalyticity of the free-energy density at the critical temperature of a macroscopic system. The authors succeed in observing such a transition in a quantum simulation of the quench dynamics of a many-body system. This computational experiment shows that quantum phase transitions of many-body systems can be simulated successfully using a single superconducting qubit, by varying the control parameter over the range of momenta as the qubit's spin-1/2 state evolves on the Bloch sphere.

Jonathan B. Curtis, Zachary M. Raines, Andrew A. Allocca +2 more

Seong Hyeon Park, Junyoung An, Jeseok Bang +1 more