Dynamic generation of nonequilibrium superconducting states in Kitaev chain

Abstract

Non-equilibrium state can exhibit the same macroscopic properties, such as conductivity or superconductivity, as a static state when they share the identical average of an observable over a period of time. We investigate the quench dynamics of a Kitaev chain by introducing two kinds of order parameters which relate to two channels of pairing, local pair in real space and BCS-like pair in momentum space. Based on exact solutions, we find that two order parameters are identical for the ground state, indicating the balance between two kinds of pairing channels, and can identify the quantum phase diagram. However, for a non-equilibrium state obtained by the time evolution from initially prepared vacuum state, the two are different but both can still clearly identify the phase diagram. In the topologically non-trivial region, the non-equilibrium states prefer the BCS-like pairing state. Our finding provides an alternative way to dynamically generate a superconducting state from a trivial empty state and sheds light on the mechanism of pairing.

8 pages, 7 figures

References in corpus (12)

• Non-Abelian Anyons and Topological Quantum Computation
• Kitaev chains with long-range pairing
• Heating-Induced Long-Range $\eta$-Pairing in the Hubbard Model
• Non-Hermitian topological phases and dynamical quantum phase transitions: A generic connection
• Photoinduced $\eta$-pairing at finite temperatures
• Dynamical relaxation of correlators in periodically driven integrable quantum systems
• Dynamical crossover behavior in the relaxation of quenched quantum many-body systems
• Analytical Solution for the Steady States of the Driven Hubbard model
• Photoinduced electron-electron pairing in the extended Falicov-Kimball model
• Topological superconductivity at finite temperatures in proximitized magnetic nanowires
• Lieb's Theorem and Maximum Entropy Condensates
• Steady off-diagonal long-range order state in a half-filled dimerized Hubbard chain induced by a resonant pulsed field

Cited by in corpus (6)

• Topological phase in Kitaev chain with spatially separated pairing processes
• Emerging topological characterization in non-equilibrium states of quenched Kitaev chains
• Density matrix renormalization group study of the interacting Kitaev chain with quasi-periodic disorder
• Dynamics of Majorana zero modes across hybrid Kitaev chain
• Fixed lines in a non-Hermitian Kitaev chain with spatially balanced pairing processes
• Anomalous parametric resonance in a spin-1/2 chain: dynamical effects of nontrivial topology