Extracting work from correlated many-body quantum systems

Abstract

The presence of correlations in the input state of a non-interacting many-body quantum system can lead to an increase in the amount of work we can extract from it under global unitary processes (ergotropy). The present work explore such effect on translationally invariant systems relaying on the Matrix Product Operator formalism to define a measure of how much they are correlated. We observe that in the thermodynamic limit of large number of sites, complete work extraction can be attained for relatively small correlation strength (a reduction of a 2 factor in dB unit). Most importantly such an effect appears not to be associated with the presence of quantum correlations (e.g. entanglement) in the input state (classical correlation sources), and to be attainable by only using incoherent ergotropy. As a byproduct of our analysis we also present a rigorous formulation of the heuristic typicality argument first formulated in [Alicki and Fannes, 2013], which gives the maximum work extractable for a set of many identical quantum systems in the asymptotic limit.

21 pages, 5 figures

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• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Individual quantum probes for optimal thermometry
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• Matrix product operators and states: NP-hardness and undecidability
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• Optimal local work extraction from bipartite quantum systems in the presence of Hamiltonian couplings
• Quantum Work Capacitances: ultimate limits for energy extraction on noisy quantum batteries