Loschmidt echo and time reversal in complex systems

Arseni Goussev, Rodolfo A. Jalabert*, Horacio M. Pastawski, Diego A. Wisniacki

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

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Echoes are ubiquitous phenomena in several branches of physics, ranging from acoustics, optics, condensed matter and cold atoms to geophysics. They are at the base of a number of very useful experimental techniques, such as nuclear magnetic resonance, photon echo and time-reversal mirrors. Particularly interesting physical effects are obtained when the echo studies are performed on complex systems, either classically chaotic, disordered or many-body. Consequently, the term Loschmidt echo has been coined to designate and quantify the revival occurring when an imperfect time-reversal procedure is applied to a complex quantum system, or equivalently to characterize the stability of quantum evolution in the presence of perturbations. Here, we present the articles which discuss the work that has shaped the field in the past few years.

Original languageEnglish
Article number20150383
Number of pages6
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2069
Publication statusPublished - 13 Jun 2016


  • Chaos
  • Classical
  • Quantum
  • Reversibility
  • Semiclassical
  • RCUK
  • EP/K024116/1


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