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arXiv:2104.12143

Fast and stable charging via a shortcut to adiabaticity

Hanyuan Hu, Shi-fan Qi, Jun Jing

Published Apr 25, 2021• 2 citations
arXivHTMLPDF

Abstract

Quantum battery is an emerging subject in the field of quantum thermodynamics, which is applied to charge, store and dispatch energy in quantum systems. In this work, we propose a fast and stable charging protocol based on the adiabatic evolution for the dark state of a three-level quantum battery. It combines the conventional stimulated Raman adiabatic passage (STIRAP) and the quantum transitionless driving technique. The charging process can be accelerated up to nearly one order in magnitude even under constraint of the strength of counter-diabatic driving. To perform the charging protocol in the Rydberg atomic system as a typical platform for STIRAP, the prerequisite driving pulses are modified to avoid the constraint of the forbidden transition. Moreover, our protocol is found to be more robust against the environmental dissipation and dephasing than the conventional STIRAP.

DOI
10.48550/arxiv.2104.12143

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Quantum battery is an emerging subject in the field of quantum thermodynamics, which is applied to charge, store and dispatch energy in quantum systems. In this work, we propose a fast and stable charging protocol based on the adiabatic evolution for the dark state of a three-level quantum battery. It combines the conventional stimulated Raman adiabatic passage (STIRAP) and the quantum transitionless driving technique. The charging process can be accelerated up to nearly one order in magnitude even under constraint of the strength of counter-diabatic driving. To perform the charging protocol in the Rydberg atomic system as a typical platform for STIRAP, the prerequisite driving pulses are modified to avoid the constraint of the forbidden transition. Moreover, our protocol is found to be more robust against the environmental dissipation and dephasing than the conventional STIRAP.
Quantum batteries are energy storage devices that satisfy quantum mechanical principles. How to improve the battery’s performance such as stored energy and power is a crucial element in the quantum battery. Here, we investigate the charging and discharging dynamics of a three-level counterdiabatic stimulated Raman adiabatic passage quantum battery via shortcuts to adiabaticity, which can compensate for undesired transitions to realize a fast adiabatic evolution through the application of an additional control field to an initial Hamiltonian. The scheme can significantly speed up the charging and discharging processes of a three-level quantum battery and obtain more stored energy and higher power compared with the original stimulated Raman adiabatic passage. We explore the effect of both the amplitude and the delay time of driving fields on the performances of the quantum battery. Possible experimental implementation in superconducting circuit and nitrogen-vacancy center is also discussed.
Recent theoretical and experimental protocols for the stable and effective charging of open quantum batteries (QBs), in particular adiabatic charging of three-level QBs via stimulated Raman adiabatic passages, have sparked renewed interest in adiabatic quantum dynamics. A central question is whether exploiting the adiabatic master equation could provide advantages over the previous studies in the effective charging of open QBs. To answer this question, we revisit the adiabatic charging of three-level QB by using the adiabatic quantum master equation formalism. We restrict ourselves to the weak-coupling regime with an Ohmic thermal bath and investigate the effects of relaxation and dephasing on the charging process. It is also worth emphasizing that our protocol to investigate the charging process of QBs based on the adiabatic master equation despite the previous studies is not phenomenological and is general. We analyze the dependence of the stored energy, ergotropy, as well as the efficiency of the QB on the total time of evolution t_{f}. We demonstrate that for very short charging time (t_{f}), where the evolution is highly nonadiabatic, the stored energy and ergotropy are very small. However, by increasing t_{f} we show that there is an optimal charging time t_{f}^{opt} in which, at low temperatures, we could fully charge the battery and effectively extract the entire amount of energy from it. Note that the optimal charging time could be decreased by adjusting the strength of the coupling between the system and environment and also be the appropriate choice of the Hamiltonian parameters, which, in turn, speed up the charging process. However, we show that for very long charging time t_{f} the charging energy, ergotropy, and efficiency decrease due to thermal excitations. Furthermore, to obtain more insights about the problem we investigate the distance between the density matrix of a system at optimal charging time t_{f}^{opt} and the corresponding thermal state by using the one-norm distance.
The quantum battery (QB), which can potentially store or dispatch energy more efficiently with quantum advantage, has attracted considerable attention lately in the field of quantum thermodynamics. With its quantum advantage, a QB could be charged more efficiently than the classical battery. In this paper, we theoretically and experimentally exploit the frequency-modulated stimulated Raman adiabatic passage (fmod-STIRAP) technique to improve the charging (discharging) efficiency of a cascaded three-level QB that is constituted by a superconducting transmon qutrit. The evolution of the qutrit and its thermodynamic properties are analyzed by carrying out the three-level quantum state tomography on the device. Our experimental results, which are confirmed by numerical simulations, show that the fmod-STIRAP technique yields remarkable advantages in population, ergotropy, and power in the charging (discharging) process.
Abstract Robust quantum control is essential for the development of quantum computers, which rely on precise manipulation of qubits. One form of quantum control is stimulated Raman adiabatic passage (STIRAP), which ordinarily is a state transfer protocol but was extended by Kis and Renzoni (2002 Phys. Rev. A 65 032318) to perform qubit rotations. Shortcut methods to adiabaticity for STIRAP have been shown to speed up adiabatic processes, beyond the adiabatic criterion, with high fidelity. Here, we apply shortcut to adiabaticity methods to the STIRAP qubit rotation scheme to improve the performance of quantum logic gates. The scheme can be implemented via direct connections between ground states in a 4-level Λ system or effective connections in a 5-level Λ system with modified pulses that implement transitionless quantum driving via the addition of a counterdiabatic driving term. We show that the extended shortcut to adiabaticity method serves to improve the fidelity of qubit rotations in the diabatic regime.
We analyze the energy charging of a quantum battery within an open quantum framework, where the interaction between the battery element and an external power source is mediated by an ancilla system acting as a controllable switch. Specifically, we investigate the charging and discharging dynamics of a cavity-based quantum battery coupled to a driven qubit functioning as the charger. To ensure lossless power transfer, we utilize an adiabatic evolution protocol. Furthermore, we implement counterdiabatic driving, achieved by applying an auxiliary control field to the original Hamiltonian, to suppress undesired transitions and realize fast adiabatic dynamics. This scheme significantly accelerates the charging process. We demonstrate that the charging efficiency under adiabatic evolution is enhanced and exhibits stable, non-oscillatory behavior, and we determine the optimal duration for the operation. Finally, we show that counterdiabatic driving minimizes the path length between the initial and final states, inducing the shortest possible evolution distance.
By definition, quantum adiabatic process means a slow process which allows the state to follow the instantaneous eigenstates of time-dependent Hamiltonian. For some reasons, for example, to avoid the decoherence effects, or to implement large-scale quantum information processing, we may want to speed up the adiabatic process, that is, to achieve the adiabatic-like control but in very short time. In this talk, we present new methods to speeded-up expansion and transport of cold atoms in a harmonic trap. Such shortcuts to adiabaticity provide the fast expansion or transport, in which the final atomic state is the same as in the adiabatic process, but in arbitrarily short time, keeping the same populations of vibrational levels in the initial and final trap. These methods can also be generalized to Bose-Einstein Condensates. Moreover, we present shortcuts to adiabatic passage from one internal atomic state to another in twoor three-level atoms. In detail, we can apply Berry’s transitionless quantum driving method and invariant-based inverse engineering method to accelerate the Rapid Adiabatic Passage (RAP) and Stimulated Raman Adiabatic Passage (STIRAP) in twoand three-level atomic systems, respectively. We also examine and compare the stability of different schemes concerning different types of noise and system errors. Finally, we show that the technique of shortcuts to adiabaticity in two-level system can be applied in fast and robust spin flip in a quantum dot, to avoid the decoherent effects.