Time reversal and quantum Loschmidt echo in optical lattices

TL;DR

This paper proposes a practical protocol for implementing quantum Loschmidt echo in optical lattices with ultra-cold atoms, enabling effective time reversal of quantum states, which could be experimentally feasible and useful for quantum control.

Contribution

It introduces a simple, experimentally feasible protocol for quantum time reversal in optical lattices, advancing the practical realization of quantum Loschmidt echoes.

Findings

Protocol for quantum time reversal demonstrated

Potential for experimental implementation in ultra-cold atoms

Advances in quantum control techniques

Abstract

A quantum Loschmidt echo (also referred to as quantum time mirror) corresponds to an effective time inversion after which the quantum wave function reverses its previous time evolution and eventually reaches its initial distribution again. We propose a comparably simple protocol for such an effective time reversal for ultra-cold atoms in optical lattices which should be easier to realize experimentally than previous proposals.