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I show how to perform a Loschmidt echo (time reversal) in the Bose-Hubbard model implemented with cold bosonic atoms in an optical lattice. The echo is obtained by applying a linear phase imprint on the lattice and a change in magnetic…

Quantum Physics · Physics 2010-03-12 Fernando M. Cucchietti

Time reversal is one of the most intriguing yet elusive wave phenomenon of major interest in different areas of classical and quantum physics. Time reversal requires in principle to flip the sign of the Hamiltonian of the system, leading to…

Quantum Physics · Physics 2017-06-29 Stefano Longhi

We propose an experimental scheme which allows to realize approximate time reversal of matter waves for ultracold atoms in the regime of quantum chaos. We show that a significant fraction of the atoms return back to their original state,…

Statistical Mechanics · Physics 2008-02-05 J. Martin , B. Georgeot , D. L. Shepelyansky

For a periodically shaken optical lattice, effective time-reversal is investigated numerically. For interacting ultra-cold atoms, the scheme of [J. Phys. B 45, 021002 (2012)] involves a quasi-instantaneous change of both the…

Quantum Gases · Physics 2013-04-04 Christoph Weiss

The reversion of the time evolution of a quantum state can be achieved by changing the sign of the Hamiltonian as in the polarization echo experiment in NMR. In this work we describe an alternative mechanism inspired by the acoustic time…

We study the possibility to undo the quantum mechanical evolution in a time reversal experiment. The naive expectation, as reflected in the common terminology ("Loschmidt echo"), is that maximum compensation results if the reversed dynamics…

Quantum Physics · Physics 2009-11-10 Moritz Hiller , Tsampikos Kottos , Doron Cohen , Theo Geisel

We propose a method -- a quantum time mirror (QTM) -- for simulating a partial time-reversal of the free-space motion of a nonrelativistic quantum wave packet. The method is based on a short-time spatially-homogeneous perturbation to the…

Quantum Physics · Physics 2018-05-28 Phillipp Reck , Cosimo Gorini , Arseni Goussev , Viktor Krueckl , Mathias Fink , Klaus Richter

Time reversal of quantum dynamics can be achieved by a global change of the Hamiltonian sign (a hasty Loschmidt daemon), as in the Loschmidt Echo experiments in NMR, or by a local but persistent procedure (a stubborn daemon) as in the Time…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Hernan L. Calvo , Ernesto P. Danieli , Horacio M. Pastawski

Both metaphysical and practical considerations related to time inversion have intrigued scientists for generations. Physicists have strived to devise and implement time-inversion protocols, in particular different forms of "time mirrors"…

Mesoscale and Nanoscale Physics · Physics 2018-01-10 Phillipp Reck , Cosimo Gorini , Arseni Goussev , Viktor Krueckl , Mathias Fink , Klaus Richter

Methods that are devised to achieve reversal of quantum dynamics in time have been named "quatum time mirrors". Such a time mirror can be considered as a generalization of Hahn's spin echo to systems with continuous degrees of freedom. We…

Mesoscale and Nanoscale Physics · Physics 2018-10-03 Phillipp Reck , Cosimo Gorini , Klaus Richter

Exploiting the time-reversal invariance and reciprocal properties of the lossless wave equation enables elegantly simple solutions to complex wave-scattering problems, and is embodied in the time-reversal mirror. A time-reversal mirror…

Chaotic Dynamics · Physics 2013-02-12 Matthew Frazier , Biniyam Taddese , Thomas Antonsen , Steven M. Anlage

We have performed an experiment to demonstrate the approximate time reversal of a "chaotic" time evolution of atomic deBroglie waves. We use ultra cold atoms from a Bose-Einstein condensate in a quantum $\delta$-kicked rotor experiment, and…

Quantum Physics · Physics 2011-02-28 A. Ullah , M. D. Hoogerland

Time reflection and refraction are temporal analogies of the spatial boundary effects derived from Fermat's principle. They occur when classical waves strike a time boundary where an abrupt change in the properties of the medium is…

Quantum Gases · Physics 2023-09-20 Zhaoli Dong , Hang Li , Tuo Wan , Qian Liang , Zhaoju Yang , Bo Yan

The time-reversal mirror (TRM) of acoustic waves is used as a focusing technique that is robust against disorder and chaos. The propagation of an ultrasonic pulse from the focal point is detected and recorded by a surrounding array of…

Mesoscale and Nanoscale Physics · Physics 2008-04-16 Hernan L. Calvo , Horacio M. Pastawski

We have found a new hidden symmetry of time reversal light-atom interaction in the photon echo quantum memory with Raman atomic transition. The time-reversed quantum memory creates generalized conditions for ideal compression/decompression…

Quantum Physics · Physics 2013-10-09 E. S. Moiseev , S. A. Moiseev

The utilization of time reversal symmetry in designing and implementing (quantum) optical experiments has become more and more frequent over the past years. We review the basic idea underlying time reversal methods, illustrate it with…

Optics · Physics 2012-05-08 Gerd Leuchs , Markus Sondermann

Time reversal in a macroscopic system is contradicting daily experience. It is practically impossible to restore a shattered cup to its original state by just time reversing the microscopic dynamics that led to its breakage. Yet, with the…

The analysis of dissipation and dephasing in driven mesoscopic devices requires a distinction between two notions of quantum irreversibility. One ("Loschmidt echo") is related to "time reversal", while the other is related to "driving…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Tsampikos Kottos , Doron Cohen

An instantaneous time mirror (ITM) is an interesting approach to manipulate wave propagation from the time boundaries. In the time domain, the reversed wave is previously proven to be the temporal derivative of the original pattern. Here,…

Classical Physics · Physics 2020-08-19 Danming Peng , Yiyang Fan , Ruochen Liu , Xiasheng Guo , Sihui Wang

The Boltzmann-Loschmidt dispute of 1876 questioned the possibility of a statistical irreversible description by time reversible classical equations of motion of atoms. Here we show analytically and numerically that the quantum chaos…

Statistical Mechanics · Physics 2026-05-29 Leonardo Ermann , Alexei D. Chepelianskii , Dima L. Shepelyansky
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