Full counting statistics of Schwinger pair production and annihilation

Abstract

We study the probability distribution of the number of particle and antiparticle pairs produced via the Schwinger effect when a uniform but time-dependent electric field is applied to noninteracting scalars or spinors initially at a thermodynamic equilibrium. We derive the formula for the characteristic function by employing techniques in mesoscopic physics, reflecting a close analogy between the Schwinger effect and mesoscopic tunneling transports. In particular, we find that the pair production in a medium is enhanced (suppressed) for scalars (spinors) due to the Bose stimulation (Pauli blocking). Furthermore, in addition to the production of accelerated pairs by the electric field, the annihilation of decelerated pairs is found to take place in a medium. Our formula allows us to extract the probability distributions in various situations, such as those obeying the generalized trinomial statistics for spin-momentum resolved counting and the bidirectional Poisson statistics for spin-momentum unresolved counting.

6 pages, 2 figures; published version

References in corpus (7)

• The Stokes Phenomenon and Schwinger Vacuum Pair Production in Time-Dependent Laser Pulses
• Electron-Positron Pair Production in Relativistic Heavy Ion Collisions
• Interference Effects in Schwinger Vacuum Pair Production for Time-Dependent Laser Pulses
• The Schwinger mechanism revisited
• Schwinger Pair Production at Finite Temperature in QED
• Schwinger Pair Production at Finite Temperature in Scalar QED
• Vacuum instability in time-dependent electric fields. New example of exactly solvable case

Cited by in corpus (2)

• Pauli blocking effects on pair creation in strong electric field
• The physics of adiabatic particle number in the Schwinger effect