Auxiliary-assisted stochastic energy extraction from quantum batteries
- URL: http://arxiv.org/abs/2307.16856v1
- Date: Mon, 31 Jul 2023 17:15:39 GMT
- Title: Auxiliary-assisted stochastic energy extraction from quantum batteries
- Authors: Paranjoy Chaki, Aparajita Bhattacharyya, Kornikar Sen, Ujjwal Sen
- Abstract summary: We discuss the idea of extracting energy from a quantum battery based on a projective measurement on an auxiliary system.
We show that a non-zero entanglement present initially between the battery and the auxiliary can induce an even higher amount of energy extraction than for product initial states.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We discuss the idea of extracting energy stochastically from a quantum
battery, which is based on performing a projective measurement on an auxiliary
system. The battery is initially connected to the auxiliary system and allowed
to evolve unitarily. After some time, we execute a measurement on the auxiliary
system and choose a particular outcome. The auxiliary is then traced out of the
system, and the relevant state of the battery is the final state. We consider
the product of the energy difference between the initial and final states with
the probability of getting the measurement outcome that reduces to that final
state. We define the maximum value of this quantity as the stochastically
extractable energy. Restricting ourselves to a particular uncountable set of
states, we find that stochastically extractable energy is always higher than
the maximum energy that can be extracted from the battery by applying unitary
operations, even if the initial auxiliary-battery state is a product. We show
that a non-zero entanglement present initially between the battery and the
auxiliary can induce an even higher amount of stochastic energy extraction than
that for product initial states. Further, the set of states for which
stochastically extractable energy is zero is determined for all product initial
states and found to only consist of a single state, viz., the ground state.
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