Quantum Battery with Non-Hermitian Charging

Kanti, Konar, Tanoy; Chandra, Lakkaraju, Leela Ganesh; De, Aditi Sen

doi:10.48550/arxiv.2203.09497

Cited by 4 publications

(5 citation statements)

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“…Furthermore, it allows for large-scale optimization, thus enabling the optimization of a significant number of parameters. An immediate case of interest to consider is extending the micromaser QB charging optimization to a setup in which dissipation and other imperfections are present [35,47]. Similarly, it would be interesting to test the effectiveness of this method by taking loss functions tailored towards figures of merit other than the ergotropy, like the charging power.…”

Section: Discussionmentioning

confidence: 99%

“…The first work on the subject was by Alicki and Fannes [14], after which subsequent research works extended in several different directions. These include the proposal of explicit theoretical models of quantum batteries [15][16][17][18][19][20][21] and the analysis of the figures of merit to address the efficiency of such devices, such as the charging power [22,23], the maximum amount of energy which can be unitarily extracted [24][25][26], the effect of noise and imperfections [27][28][29][30], non-markovian effects [31,32], stability and fluctuations properties [33] or the necessary conditions to achieve a quantum charging advantage [34][35][36].…”

Section: Introductionmentioning

confidence: 99%

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AI-discovery of a new charging protocol in a micromaser quantum battery

Rodríguez¹,

Rosa²,

Ollé³

2023

Preprint

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We propose a general computational framework for optimizing model-dependent parameters in quantum batteries (QB). We apply this method to two different charging scenarios in the micromaser QB and we discover a new charging protocol for stabilizing the battery in upper-laying Hilbert space chambers in a controlled and automatic way. This protocol is found to be stable and robust, and it leads to an improved charging efficiency in micromaser QBs. Moreover, our optimization framework is highly versatile and efficient, holding great promise for the advancement of QB technologies at all scales.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

AI-discovery of a new charging protocol in a micromaser quantum battery

Rodríguez¹,

Rosa²,

Ollé³

2023

Preprint

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“…Additionally, some authors have used the PT -symmetric nature of non-hermitian hamiltonians to produce efficient algorithms to compute their spectra with arbitrarily high precision [49,50]. RT -symmetric bosonic and fermionic systems have been studied in various capacities ranging from exactly solvable models, to quantum batteries, detection of exceptional points through dynamics and unbroken phase through quantum-information-related techniques in [51][52][53][54][55][56]. Some authors have focused on solvable fermionic spin chains, for example in Refs.…”

Section: Introductionmentioning

confidence: 99%

Spectral crossover in non-hermitian spin chains: comparison with random matrix theory

Sarkar¹,

Sen²,

Kumar³

2023

Preprint

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We systematically study the short range spectral fluctuation properties of three non-hermitian spin chain hamiltonians using complex spacing ratios. In particular we focus on the non-hermitian version of the standard one-dimensional anisotropic XY model having intrinsic rotation-time-reversal (RT ) symmetry that has been explored analytically by Zhang and Song in [Phys.Rev.A 87, 012114 (2013)]. The corresponding hermitian counterpart is also exactly solvable and has been widely employed as a toy model in several condensed matter physics problems. We show that the presence of a random field along the x-direction together with the one along z facilitates integrability and RT -symmetry breaking leading to the emergence of quantum chaotic behaviour indicated by a spectral crossover resembling Poissonian to Ginibre unitary ensemble (GinUE) statistics of random matrix theory. Additionally, we consider two n × n dimensional phenomenological random matrix models in which, depending upon crossover parameters, the fluctuation properties measured by the complex spacing ratios show an interpolation between 1D-Poisson to GinUE and 2D-Poisson to GinUE behaviour. Here 1D and 2D Poisson correspond to real and complex uncorrelated levels, respectively.

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“…Starting from the seminal work of Alicki and Fannes, [9], several figures of merit, to characterize the performance of a quantum battery, have been introduced and studied. These include energy storage [10][11][12][13][14], work extraction [9,15], fluctuations properties [16][17][18][19] and charging power [4][5][6][20][21][22][23][24][25][26][27][28][29][30][31][32][33], to name some of them.…”

Section: Introductionmentioning

confidence: 99%

Micromasers as quantum batteries

Shaghaghi¹,

Singh²,

Benenti³

et al. 2022

Quantum Sci. Technol.

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We show that a micromaser is an excellent model of quantum battery. A highly excited, pure, and effectively steady state of the cavity mode, charged by coherent qubits, can be achieved, also in the ultrastrong coupling regime of field-matter interaction. Stability of these appealing features against loss of coherence of the qubits and the effect of counter-rotating terms in the interaction Hamiltonian are also discussed.

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Quantum Battery with Non-Hermitian Charging

Cited by 4 publications

References 0 publications

AI-discovery of a new charging protocol in a micromaser quantum battery

AI-discovery of a new charging protocol in a micromaser quantum battery

Spectral crossover in non-hermitian spin chains: comparison with random matrix theory

Micromasers as quantum batteries

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