Topological footprints of the 1D Kitaev chain with long range superconducting pairings at a finite temperature

Abstract

We study the 1D Kitaev chain with long range superconductive pairing terms at a finite temperature where the system is prepared in a mixed state in equilibrium with a heat reservoir maintained at a constant temperature $T$. In order to probe the footprint of the ground state topological behavior of the model at finite temperature, we look at two global quantities extracted out of two geometrical constructions: the Uhlmann and the interferometric phase. Interestingly, when the long-range effect dominates, the Uhlmann phase approach fails to reproduce the topological aspects of the model in the pure state limit; on the other hand, the interferometric phase, though has a proper pure state reduction, shows a behaviour independent of the ambient temperature.

7 pages, 1 figure

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Cited by in corpus (6)

• Topological properties of the long-range Kitaev chain with Aubry-André-Harper modulation
• Detecting topological phase transitions through entanglement between disconnected partitions in a Kitaev chain with long-range interactions
• Topological characterization of one-dimensional open fermionic systems
• Competition of long-range interactions and noise at ramped quench dynamical quantum phase transition: The case of the long-range pairing Kitaev chain
• Phase diagram of the disordered Kitaev chain with long range pairing connected to external baths
• Universal cooling dynamics toward a quantum critical point