Abstract
We identify different schemes to enhance the violation of Leggett-Garg inequalities in open many-body systems. Considering a nonequilibrium archetypical setup of quantum transport, we show that particle interactions control the direction and amplitude of maximal violation, and that in the strongly-interacting and strongly-driven regime bulk dephasing enhances the violation. Through an analytical study of a minimal model we unravel the basic ingredients to explain this decoherence-enhanced quantumness, illustrating that such an effect emerges in a wide variety of systems.
Highlights
We identify different schemes to enhance the violation of Leggett-Garg inequalities in open manybody systems
Using a minimal model to illustrate the basic ingredients responsible for this phenomenon, we argue that it can emerge under a wide range of conditions
The so-called wide-band limit is considered, where the bandwidths of the reservoirs, proportional to their hopping rates, are much larger than the bandwidth of the XXZ chain. Invoking these assumptions[34,39], and following standard microscopic derivations where the degrees of freedom of the reservoirs are traced out[40], it is shown that the dynamics of the chain under the influence of the environment is governed by a Lindblad master equation, ρ t
Summary
We identify different schemes to enhance the violation of Leggett-Garg inequalities in open manybody systems. The non-trivial impact of dissipation in multilevel systems is known to induce unexpected beneficial effects, as entanglement generation and quantum state engineering[18,19,20,21], restoration of hidden quantum phase transitions[22] and environment-assisted transport[23,24,25,26], recently observed in several quantum simulators[27,28,29,30]. Such systems constitute attractive candidates for uncovering novel mechanisms of LGI violation enhancement. Using a minimal model to illustrate the basic ingredients responsible for this phenomenon, we argue that it can emerge under a wide range of conditions
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