Detecting topological phase transitions through entanglement between disconnected partitions in a Kitaev chain with long-range interactions
arXiv:2111.03506 · doi:10.1103/PhysRevB.105.085106
Abstract
We explore the behaviour of the disconnected entanglement entropy (DEE) across the topological phases of a long range interacting Kitaev chain where the long range interactions decay as a power law with an exponent . We show that while the DEE may not remain invariant deep within the topologically non-trivial phase when , it nevertheless shows a quantized discontinuous jump at the quantum critical point and can act as a strong marker for the detection of topological phase transition. We also study the time evolution of the DEE after a sudden quench of the chemical potential within the same phase. In the short range limit of a finite chain, the DEE is expected to remain constant upto a critical time after the quench, which diverges in the thermodynamic limit. However, no such critical time is found to exist when the long range interactions dominate (i.e., ).
arXiv comment13 pages, 12 captioned figures
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