Studies on the Coherence Time of the Electron Weakly Coupled with Phonons in Asymmetrical Semi-exponential Quantum Well
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Studies on the Coherence Time of the Electron Weakly Coupled with Phonons in Asymmetrical Semi‑exponential Quantum Well by Employing Linear Combination Operation Method Jing‑Lin Xiao1 Received: 29 March 2020 / Accepted: 24 October 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract We investigate theoretically the properties of the coherence time of a symmetric semi-exponential quantum well qubit using the linear combination operator method for the first time. We derive the influences of quantum well barrier height and the range of an asymmetrical semi-exponential confinement potential (ASECP) on the vibration frequency, first excited-state (FES) energy, excitation energy and coherence time using unitary transformations and Fermi’s Golden Rule. We find that the vibration frequency, FES energy and excitation energy are increasing functions of the barrier height, but are decreasing ones of the ASECP range; the coherence time, however, has totally opposite properties. Our results may be useful for the design and implementation of solid-state quantum computation. Keywords Quantum well · Asymmetrical semi-exponential confinement potential · Qubit · Coherence time · Fermi Golden Rule
1 Introduction The interplay between electron and phonon produced by lattice vibration forms polaron whose properties are very important to study the photoelectric properties of low-dimensional ionic crystals. The study of polaron’s energy levels is an important topic in nanomaterials. Due to the degeneracy of polaron energy levels in nanomaterials, unique ground-state and first excited-state energy levels are formed. The polaron’s two levels can be used for building a qubit, the basis for quantum communication. Experimentally, the qubits composed of spin energy states in * Jing‑Lin Xiao [email protected] 1
Institute of Condensed Matter Physics, Inner Mongolia University for the Nationalities, Tongliao 028043, China
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Vol.:(0123456789)
Journal of Low Temperature Physics
low-dimensional quantum systems have been realized. For example, Takeda et al. [1] reported an addressable fault-tolerant qubit using a natural silicon double quantum dot with a micromagnet. Kawakami et al. [2] proposed a qubit by single electron spin in Si/SiGe quantum dots. Abadily-uriel et al. [3] investigated the manipulation of the spin qubit realized by bounding states in the IVQWs group. Several other theoretical studies have been conducted on qubit properties [4–6]. Until now, very few studies have proposed to build qubits through the degenerate energy levels of polarons in a quantum system. Experimentally, various methods for measuring quantum coherence times have been demonstrated. For instance, Sohn et al. [7] used nanoelectromechanical systems without changing temperature and reduced the diamond silicon vacancy color heart hot phonon effect of spin qubit. Bader et al. [8] reported different transition metal phthalocyanines in an EPR study, demonstrating the spin relaxation of solvent, ligand and metal ion dependenci
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