Topological phases in adiabatic and nonadiabatic driven systems

Abstract

In this work we study the geometrical and topological properties of non-equilibrium quantum systems driven by ac fields. We consider two tunnel coupled spin qubits driven by either spatially homogeneous or inhomogeneous ac fields. Our analysis is an extension of the classical model introduced by Berry with he addition of the spatial degree of freedom. We calculate the Berry and Aharonov-Anandan geometric phases, and demonstrate the influence of the different field parameters in the geometric properties. We also discuss the topological properties associated with the different driving regimes, and show that by tuning the different parameters one can induce topological phase transitions, even in the non-adiabatic regime.

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• Topological quantum memory
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• Electrically driven single electron spin resonance in a slanting Zeeman field
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Cited by in corpus (23)

• Floquet-Bloch theory and topology in periodically driven lattices
• Floquet generation of Majorana end modes and topological invariants
• Floquet dynamical quantum phase transition in the extended XY model: nonadiabatic to adiabatic topological transition
• Majorana edge modes in the Kitaev model
• Effects of interactions on periodically driven dynamically localized systems
• Effects of periodic kicking on dispersion and wave packet dynamics in graphene
• Maximum group velocity in a one-dimensional model with a sinusoidally varying staggered potential
• Low-frequency phase diagram of irradiated graphene and periodically driven spin-1/2 $XY$ chain
• Exact Nonadiabatic Holonomic Transformations of Spin-Orbit Qubits
• Signatures and conditions for phase band crossings in periodically driven integrable systems
• Effects of local periodic driving on transport and generation of bound states
• Critical phase boundaries of static and periodically kicked long-range Kitaev chain
• Generating end modes in a superconducting wire by periodic driving of the hopping
• Temporal variation in the winding number due to dynamical symmetry breaking and associated transport in a driven SSH chain
• Spin resonance under topological driving fields
• A study of excess energy and decoherence factor of a qubit coupled to a one dimensional periodically driven spin chain
• Driven Hubbard model on a triangular lattice: tunable Heisenberg antiferromagnet with three-spin chiral term
• Dynamical manipulation of Dirac points in the Kitaev honeycomb model
• Exact analysis of gate noise effects on non-adiabatic transformations of spin-orbit qubits
• Exact spin-orbit qubit manipulation
• Thermal effects on a nonadiabatic spin-flip protocol of spin-orbit qubits
• Floquet engineering of edge states in the presence of staggered potential and interactions
• Effects of noise on fidelity in spin-orbit qubit transformations