Multi-particle and multi-state Landau-Zener model: Dynamic matrix approach

Fai, Lukong Cornelius; Tchoffo, Martin; Jipdi, M.N.

doi:10.1140/epjp/i2015-15071-y

Cited by 15 publications

(2 citation statements)

References 16 publications

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“…then from refs [27] [28] [29] [30] and Equation ( 9), we obtain the following Journal of Applied Mathematics and Physics transition matrix elements:…”

Section: Energy-momentum (E-p) Relation For An Arbitrary Temperaturementioning

confidence: 99%

Electron Auto-Localization Tailored by Its Thermal Energy: Dynamic Matrix Approach (DMA)

Fokou¹,

Jipdi²,

Tchoffo³

et al. 2021

JAMP

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This paper investigates the thermal energy effect on electron auto-localization. The polaron characteristics (self-action potential and effective mass) are observed to be expressed via the renormalized electron-phonon coupling constant tailored by the thermal energy. Low temperatures are observed to favour auto-localization of the carrier while high temperatures favour polaron undressing and subsequent quenching of the quantum behaviour thereby rendering the system classical. The critical (transition) temperature c τ expressed via the critical coupling constant C ϒ is found to be the separating boundary between the quantum and the classical phases. Therefore, the polaron undergoes phase transition (from self-tapped to quasi free states) when the temperature of the medium is enhanced.

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“…then from refs [27] [28] [29] [30] and Equation ( 9), we obtain the following Journal of Applied Mathematics and Physics transition matrix elements:…”

Section: Energy-momentum (E-p) Relation For An Arbitrary Temperaturementioning

confidence: 99%

Electron Auto-Localization Tailored by Its Thermal Energy: Dynamic Matrix Approach (DMA)

Fokou¹,

Jipdi²,

Tchoffo³

et al. 2021

JAMP

View full text Add to dashboard Cite

show abstract

“…From the field vector (or transition matrix) above it is seen that the probable occupation varies with the initial occupied state; therefore, if the initial occupation is 1 − , then the survival probability is given by the quantities When the system is prepared in such a way that the initial occupation is 0 , the survival probability is given by the quantities   operate separately. Therefore, the system behaves at each of these points as if they where an anti-crossing (avoided crossing); the fictitious crossing are expected and the probability changes drastically [52] [75].…”

Section: Three-state Systemmentioning

confidence: 99%

Quantum Interferometry for Different Energy Landscapes in a Tuneable Josephson Junction Circuit

Nguenang¹,

Jipdi²,

Louodop³

et al. 2020

JAMP

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This paper presents a simple Josephson-junction circuit with two parameters (inductance and capacitance) which can be tuned to represent different energy landscapes with different physical properties. By tuning this quantum circuit through external accessible elements we can move from two to three and more energy levels depending on the parameter setting. The inductance, the capacitance as well as the external voltage (driving terms) condition the number of relevant energy levels as well as the model to be used.

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Landau-Zener tunneling and magnetic control of spin qubit in a quantum wire: Dynamic matrix approach

Danga

Sadem

Jipdi

et al. 2017

Physica B: Condensed Matter

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Multi-particle and multi-state Landau-Zener model: Dynamic matrix approach

Cited by 15 publications

References 16 publications

Electron Auto-Localization Tailored by Its Thermal Energy: Dynamic Matrix Approach (DMA)

Electron Auto-Localization Tailored by Its Thermal Energy: Dynamic Matrix Approach (DMA)

Quantum Interferometry for Different Energy Landscapes in a Tuneable Josephson Junction Circuit

Landau-Zener tunneling and magnetic control of spin qubit in a quantum wire: Dynamic matrix approach

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