Coupling-assisted Landau-Majorana-Stückelberg-Zener transition in a system of two interacting spin qubits

Grimaudo, Roberto; Vitanov, Nikolay V.; Messina, A.

doi:10.1103/physrevb.99.174416

Cited by 21 publications

(13 citation statements)

References 69 publications

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“…since Ω(t), in case of two interacting standard oscillators plays no role in determining a(t) and b(t), as it is clear from Eq. (29). The time evolution of the mean value of the energy when the two interacting quantum oscillators are initially prepared in |Ψ π/4,0 1 is reported in Figs.…”

Section: Comparison With the Two Interacting Standard Harmonic Oscillmentioning

confidence: 99%

Dynamics of a harmonic oscillator coupled with a Glauber amplifier

Grimaudo¹,

Man’ko

et al. 2019

Phys. Scr.

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A system of a quantum harmonic oscillator bi-linearly coupled with a Glauber amplifier is analysed considering a time-dependent Hamiltonian model. The Hilbert space of this system may be exactly subdivided into invariant finite dimensional subspaces. Resorting to the Jordan-Schwinger map, the dynamical problem within each invariant subspace may be traced back to an effective SU(2) Hamiltonian model expressed in terms of spin variables only. This circumstance allows to analytically solve the dynamical problem and thus to study the exact dynamics of the oscillator-amplifier system under specific time-dependent scenarios. Peculiar physical effects are brought to light by comparing the dynamics of such a system with that of two interacting standard oscillators.

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Section: Comparison With the Two Interacting Standard Harmonic Oscillmentioning

confidence: 99%

Dynamics of a harmonic oscillator coupled with a Glauber amplifier

Grimaudo¹,

Man’ko

et al. 2019

Phys. Scr.

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show abstract

“…Of course, more sophisticated algorithms would have to be used for calculating the evolution of the density matrix. We also note that spin models that are similar but simpler than the non-Hermitian quantum single-molecule junction model introduced in this paper can be solved analytically when obeying certain symmetry properties [47][48][49][50][51][52][53][54][55]. It would be interesting to investigate whether the extension of these models to non-Hermitian quantum mechanics would still be analytically treatable.…”

Section: Discussionmentioning

confidence: 96%

Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature

Grimaldi,

Sergi,

Messina

2021

Preprint

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This work concerns the theoretical description of the quantum dynamics of molecular junctions with thermal fluctuations and probability losses To this end, we propose a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments. Along the lines discussed in [A. Sergi et al, Symmetry 10 518 (2018)], we adopt the operator-valued Wigner formulation of quantum mechanics (wherein the density matrix depends on the points of the Wigner phase space associated to the system) and derive a non-linear equation of motion. Moreover, we introduce a model for a non-Hermitian quantum single-molecule junction (nHQSMJ). In this model the leads are mapped to a tunneling two-level system, which is in turn coupled to a harmonic mode (i.e., the molecule). A decay operator acting on the two-level system describes phenomenologically probability losses. Finally, the temperature of the molecule is controlled by means of a Nosé-Hoover chain thermostat. A numerical study of the quantum dynamics of this toy model at different temperatures is reported. We find that the combined action of probability losses and thermal fluctuations assists quantum transport through the molecular junction. The possibility that the formalism here presented can be extended to treat both more quantum states (∼ 10) and many more classical modes or atomic particles (∼ 10 3 − 10 5 ) is highlighted.

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“…Of course, more sophisticated algorithms would have to be used for calculating the evolution of the density matrix. We also note that spin models that were similar but simpler than the non-Hermitian quantum single-molecule junction model introduced in this paper could be solved analytically when obeying certain symmetry properties [ 47 , 48 , 49 , 50 , 51 , 52 , 53 , 54 , 55 ]. It would be interesting to investigate whether the extension of these models to non-Hermitian quantum mechanics would still be analytically treatable.…”

Section: Discussionmentioning

confidence: 99%

Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature

Grimaldi

Sergi

Messina

2021

Entropy

View full text Add to dashboard Cite

This work concerns the theoretical description of the quantum dynamics of molecular junctions with thermal fluctuations and probability losses. To this end, we propose a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments. Along the lines discussed in [A. Sergi et al., Symmetry 10 518 (2018)], we adopt the operator-valued Wigner formulation of quantum mechanics (wherein the density matrix depends on the points of the Wigner phase space associated to the system) and derive a non-linear equation of motion. Moreover, we introduce a model for a non-Hermitian quantum single-molecule junction (nHQSMJ). In this model the leads are mapped to a tunneling two-level system, which is in turn coupled to a harmonic mode (i.e., the molecule). A decay operator acting on the two-level system describes phenomenologically probability losses. Finally, the temperature of the molecule is controlled by means of a Nosé-Hoover chain thermostat. A numerical study of the quantum dynamics of this toy model at different temperatures is reported. We find that the combined action of probability losses and thermal fluctuations assists quantum transport through the molecular junction. The possibility that the formalism here presented can be extended to treat both more quantum states (∼10) and many more classical modes or atomic particles (∼103−105) is highlighted.

show abstract

Coupling-assisted Landau-Majorana-Stückelberg-Zener transition in a system of two interacting spin qubits

Cited by 21 publications

References 69 publications

Dynamics of a harmonic oscillator coupled with a Glauber amplifier

Dynamics of a harmonic oscillator coupled with a Glauber amplifier

Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature

Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature

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