Time reversal symmetry protected chaotic fixed point in the quench dynamics of a topological $p$-wave superfluid

Abstract

We study the quench dynamics of a topological $p$-wave superfluid with two competing order parameters, ${\Delta }_{\pm }(t)$. When the system is prepared in the $p+ip$ ground state and the interaction strength is quenched, only ${\Delta }_{+}(t)$ is nonzero. However, we show that fluctuations in the initial conditions result in the growth of ${\Delta }_{-}(t)$ and chaotic oscillations of both order parameters. We term this behavior phase III'. In addition, there are two other types of late time dynamics -- phase I where both order parameters decay to zero and phase II where ${\Delta }_{+}(t)$ asymptotes to a nonzero constant while ${\Delta }_{-}(t)$ oscillates near zero. Although the model is nonintegrable, we are able to map out the exact phase boundaries in parameter space. Interestingly, we find phase III' is unstable with respect to breaking the time reversal symmetry of the interaction. When one of the order parameters is favored in the Hamiltonian, the other one rapidly vanishes and the previously chaotic phase III' is replaced by the Floquet topological phase III that is seen in the integrable chiral $p$-wave model.

15 pages, 8 figures, 2 tables (updated with published version)

References in corpus (21)

• Many-Body Physics with Ultracold Gases
• Topological characterization of periodically-driven quantum systems
• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Hartree-Fock on a superconducting qubit quantum computer
• Experimental Observation of a Generalized Gibbs Ensemble
• Dynamical control of matter-wave tunneling in periodic potentials
• Spontaneous vortices in the formation of Bose-Einstein condensates
• Resonantly-paired fermionic superfluids
• Quantum walks on a programmable two-dimensional 62-qubit superconducting processor
• Dynamical vanishing of the order parameter in a fermionic condensate
• Quantum Spin Dynamics of Mode-Squeezed Luttinger Liquids in Two-Component Atomic Gases
• Superfluidity and magnetism in multicomponent ultracold fermions
• Quantum quenches from integrability: the fermionic pairing model
• Quantum quench phase diagrams of an s-wave BCS-BEC condensate
• BCS pairing in Fermi systems with several flavors
• Topological Field Theory far from Equilibrium
• Non-equilibrium phenomena in superconductors probed by femtosecond time-domain spectroscopy
• Cooper pair turbulence in atomic Fermi gases
• Phase diagram, extended domain walls, and soft collective modes in a three component fermionic superfluid

Cited by in corpus (1)

• Crafting the dynamical structure of synchronization by harnessing bosonic multilevel cavity QED