Spin-chain model of a many-body quantum battery

Abstract

Recently, it has been shown that energy can be deposited on a collection of quantum systems at a rate that scales super-extensively. Some of these schemes for 'quantum batteries' rely on the use of global many-body interactions that take the batteries through a correlated short cut in state space. Here, we extend the notion of a quantum battery from a collection of a priori isolated systems to a many-body quantum system with intrinsic interactions. Specifically, we consider a one-dimensional spin chain with physically realistic two-body interactions. We find that the spin-spin interactions can yield an advantage in charging power over the non-interacting case, and we demonstrate that this advantage can grow super-extensively when the interactions are long ranged. However, we show that, unlike in previous work, this advantage is a mean-field interaction effect that does not involve correlations and that relies on the interactions being intrinsic to the battery. arXiv:1712.03559v1 [quant-ph]

Quantum Batteries

“…where g ij is the interaction strength between different spins, while α can be tuned to recover Ising (α = 0), XXZ (0 < α < 1), and XXX (α = 1) Heisenberg models, respectively [14]. The system is then charged using an external field V = ω i σ (i)…”

“…Le et al consider a many-body spin-chain model to obtain a quantum battery in ref [14],. as described in eqs.…”

Cooperative many-body enhancement of quantum thermal machine power

“…In that context, starting with the seminal work by Scully et al [7], extensive investigations have focused on the question whether quantum coherence in either the machine's working medium [8][9][10][11][12][13] or the energising (hot) bath (the 'fuel') [14-24] could either boost the power output or the efficiency of quantum engines. Whilst these investigations have been mainly theoretical, impressive experimental progress has also been made such as the first realisation of a heat engine based on a single atom [25], the demonstration of quantum-thermodynamic effects in the operation of a heat engine implemented by an ensemble of nitrogen-vacancy (NV) centres in diamond [26] and the simulation of a quantum engine fuelled by a squeezed-thermal bath in a classical setting [27].Here we explore the possibility of exploiting collective (cooperative) many-body effects in quantum heat engines and refrigerators [28][29][30][31][32][33][34][35][36]. These generic quantum effects have a common origin with Dicke superradiance [37], whereby light emission is collectively enhanced by the interaction of N atoms with a common environment (bath) such that its intensity scales with N 2 [37-62].…”

Charging Quantum Batteries with a General Harmonic Driving Field

“…In recent years, with the development of quantum thermodynamics and growing demand for device miniaturization, the quantum battery (QB), as a quantum energy storage device, has been receiving increasing attention. [ 1–17 ] The QB's energy storage is known to be a charging process, where the state of the system is transferred from a low energy level to a high energy level. In general, the battery pack system comprises many battery units to supply adequate energy.…”

“…[ 9,10,12,13,18 ] For example, charging with a harmonic driving field is more efficient than charging with a steady one. [ 8,13 ] In addition, a charging process that contains entangling operations has a collective quantum advantage, where the charging speed increases with the number of battery units. [ 9,10,18 ] With a proper charging field , the QBs can be fully charged, and the stored energy reaches the maximum during the charging process.…”