Quantum Pairing Time Orders

TL;DR

This paper introduces time-independent correlators to identify and distinguish even- and odd-frequency pairing states in quasiparticles, providing a new way to probe hidden Berezinskii order in systems like Majorana fermions and Dirac semimetals.

Contribution

It defines a novel class of correlators for pairing states that can be applied to both bosonic and fermionic quasiparticles, revealing hidden order parameters.

Findings

Correlators effectively distinguish pairing classes.

Correlators reveal energy scales relevant for pairing.

Application to Majorana and Dirac quasiparticles demonstrates utility.

Abstract

We propose the concept of the time-independent correlators for the even- and odd-frequency pairing states that can be defined for both bosonic and fermionic quasiparticles. These correlators explicitly capture the existence of two distinct classes of pairing states and provide a direct probe of the hidden Berezinskii order. This concept is illustrated in the cases of pairings for Majorana fermions and quasiparticles in Dirac semimetals. It is shown that the time-independent correlator is able to effectively capture the energy scale relevant for pairing.