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New article by grad student Akram Touil and Prof. Deffner

January 15, 2021 10:11 AM
“Information Scrambling versus Decoherence—Two Competing Sinks for Entropy”

Akram Touil and Sebastian Deffner

A thermodynamic description of quantum scrambling for open quantum system dynamics is formulated, leading to universal applications that range from black holes to ion trap systems.

PRX Quantum 2, 010306 – Published 13 January 2021

URL: https://link.aps.org/doi/10.1103/PRXQuantum.2.010306

Abstract: One of the major open problems in theoretical physics concerns the reconciliation of quantum mechanics with general relativity. In this context, a hallmark problem is the so-called black-hole information paradox, which addresses what happens to information that passes the event horizon. A possible resolution can be sought in information scrambling, which asserts that any information entering a black hole is rapidly and chaotically “scrambled” across the entirety of the event horizon and thus becomes inaccessible to any local observation. This paper analyzes information scrambling in the presence of decoherence, which is the inevitable loss of quantum information due to the interaction with the rest of the universe.

In a recent paper, the authors have shown that scrambling in isolated quantum systems can be quantified by mutual information. In this new study, they further extend the analysis to open quantum systems. In particular, they show that the mutual information can be separated into unique contributions arising from either scrambling or decoherence. This separation of terms lends itself naturally to the further derivation of statements of the second law of thermodynamics for scrambling of information in open systems. The general findings are then illustrated for a variety of models, including the Sachdev-Ye-Kitaev, the Maldacena-Qi, the XXX, the mixed-field Ising, and the Lipkin-Meshkov-Glick model with decoherence in energy or in the computational basis.

This work may have universal applications, from black holes (as their intense gravitational field is a decoherence channel) to ion-trap systems, for which information scrambling has been observed experimentally.