Lower and upper bounds of quantum battery power in multiple central spin systems

• URL: http://arxiv.org/abs/2103.07828v1
• Date: Sun, 14 Mar 2021 02:38:02 GMT
• Title: Lower and upper bounds of quantum battery power in multiple central spin systems
• Authors: Li Peng, Wen-Bin He, Stefano Chesi, Hai-Qing Lin, Xi-Wen Guan
• Abstract summary: We study the energy transfer process in quantum battery systems consisting of multiple central spins and bath spins. For the single central-spin battery, we analytically derive the time evolutions of the energy transfer and the charging power with arbitrary number of bath spins.
• Score: 2.8240204213951343
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the energy transfer process in quantum battery systems consisting of multiple central spins and bath spins. Here with "quantum battery" we refer to the central spins, whereas the bath serves as the "charger". For the single central-spin battery, we analytically derive the time evolutions of the energy transfer and the charging power with arbitrary number of bath spins. For the case of multiple central spins in the battery, we find the scaling-law relation between the maximum power $P_{max}$ and the number of central spins $N_B$. It approximately satisfies a scaling law relation $P_{max}\propto N_{B}^{\alpha}$, where scaling exponent $\alpha$ varies with the bath spin number $N$ from the lower bound $\alpha =1/2$ to the upper bound $\alpha =3/2$. The lower and upper bounds correspond to the limits $N\to 1$ and $N\gg N_B$, respectively. In thermodynamic limit, by applying the Holstein-Primakoff (H-P) transformation, we rigorously prove that the upper bound is $P_{max}=0.72 B A \sqrt{N} N_{B}^{3/2}$, which shows the same advantage in scaling of a recent charging protocol based on the Tavis-Cummins model. Here $B$ and $A $ are the external magnetic field and coupling constant between the battery and the charger.

Related papers

• Optimal energy storage and collective charging speedup in the central-spin quantum battery [10.375556905286519]
  Quantum batteries (QBs) exploit principles of quantum mechanics to accelerate the charging process and aim to achieve optimal energy storage. In this work, we analytically investigate a central-spin QB model in which $N_b$ spin-1/2 battery cells interact with $N_c$ spin-1/2 charger units. Our results highlight crucial role of dynamically emergent SU(2) symmetry in providing an analytical understanding of non-equilibrium charging dynamics in QBs.
  arXiv  Detail & Related papers  (2024-11-02T08:23:52Z)
• Unifying Floquet theory of longitudinal and dispersive readout [33.7054351451505]
  We devise a Floquet theory of longitudinal and dispersive readout in circuit QED. We apply them to superconducting and spin-hybrid cQED systems.
  arXiv  Detail & Related papers  (2024-07-03T18:00:47Z)
• Towards the "puzzle" of Chromium dimer Cr$_2$: predicting the Born-Oppenheimer rovibrational spectrum [44.99833362998488]
  This paper calculates the potential energy curve for the state $X1Sigma+$ of the Cr$$$ dimer. It is found for the first time for the whole range of internuclear distances $R$.
  arXiv  Detail & Related papers  (2024-01-06T17:00:12Z)
• Scaling of energy and power in a large quantum battery-charger model [7.927685242174114]
  We investigate a multi-qubit quantum battery-charger model, focusing on its potential emulation on a superconducting qubit chip. By checking a diverse set of system configurations, we classify the system size scalings of $E_Brm max$ and $P_Brm max$. Our work provides an overall guide for expected features in experiments of quantum batteries emulated in superconducting qubit platforms.
  arXiv  Detail & Related papers  (2022-08-22T10:25:26Z)
• On parametric resonance in the laser action [91.3755431537592]
  We consider the selfconsistent semiclassical Maxwell--Schr"odinger system for the solid state laser. We introduce the corresponding Poincar'e map $P$ and consider the differential $DP(Y0)$ at suitable stationary state $Y0$.
  arXiv  Detail & Related papers  (2022-08-22T09:43:57Z)
• Entanglement and work extraction in the central-spin quantum battery [3.59786676445968]
  We consider a central-spin battery where $N_b$ central spins serve as battery cells and $N_c$ bath spins serve as charging units. It is shown that the energy stored in the battery that can be extractable is quantified by the ergotropy, and that battery-charger entanglement is quantified via the Von Neumann entropy.
  arXiv  Detail & Related papers  (2022-05-23T06:41:47Z)
• Extended Dicke quantum battery with interatomic interactions and driving field [0.0]
  We investigate the charging process of quantum battery systems in an extended Dicke model with both atomic interactions and an external driving field. For the maximum charging power, we obtain the quantum advantage of the QB, which approximately satisfies a superlinear scaling relation $P_maxpropto Nalpha$. In the ultra-strong coupling regime, the atomic interaction can lead to a faster battery charging, and the quantum advantage $alpha = 1.88$ can be achieved.
  arXiv  Detail & Related papers  (2021-12-25T12:18:15Z)
• Power-like potentials: from the Bohr-Sommerfeld energies to exact ones [77.34726150561087]
  Bohr-Sommerfeld Energies (BSE) extracted explicitly from the Bohr-Sommerfeld quantization condition are compared with the exact energies. For physically important cases $m=1,4,6$ for the $100$th excited state BSE coincide with exact ones in 5-6 figures.
  arXiv  Detail & Related papers  (2021-07-31T21:37:50Z)
• Anharmonic oscillator: a solution [77.34726150561087]
  The dynamics in $x$-space and in $(gx)-space corresponds to the same energy spectrum with effective coupling constant $hbar g2$. A 2-classical generalization leads to a uniform approximation of the wavefunction in $x$-space with unprecedented accuracy.
  arXiv  Detail & Related papers  (2020-11-29T22:13:08Z)
• Mapping the charge-dyon system into the position-dependent effective mass background via Pauli equation [77.34726150561087]
  This work aims to reproduce a quantum system composed of a charged spin - $1/2$ fermion interacting with a dyon with an opposite electrical charge.
  arXiv  Detail & Related papers  (2020-11-01T14:38:34Z)
• Decoherence dynamics of entangled quantum states in the $XXX$ central spin model [9.455149858629378]
  We study the central spin decoherence problem in the $XXX$ central spin model (CSM) We analytically obtain their evolutions of fidelity, entanglement, and quantum coherence. With the help of system-bath entanglement, we realize quantum coherence-enhanced dynamics for the central spin.
  arXiv  Detail & Related papers  (2020-01-14T13:47:24Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.