A method to calculate effective Hamiltonians in quantum information*

Ren, Jian; Ye, Ming-Yong; Lin, Xiaoting

doi:10.1088/1674-1056/ab4d43

Search citation statements

Order By: Relevance

Paper Sections

Select...

Discussion1

B Effective Hamiltonian1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2020

2023

Publication Types

Select...

Other1

Article1

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(2 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where P is the projector operator to the non-phonon subspace. Denoting x / ∈Im P ,y∈Im P 1 Ey−Ex P x AP y by (A), the perturbation terms read [42] ν (1) = P V P = 0,…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Phonon mediated non-equilibrium correlations and entanglement between distant semiconducting qubits

Yu¹,

Guo²,

Deng³

2020

Preprint

View full text Add to dashboard Cite

We theoretically study the non-equilibrium correlations and entanglement between distant semiconductor qubits in a one-dimensional coupled-mechanical-resonator chain. Each qubit is defined by a double quantum dot (DQD) and embedded in a mechanical resonator. The two qubits can be coupled, correlated and entangled through phonon transfer along the resonator chain. We calculate the non-equilibrium correlations and steady-state entanglement at different phonon-phonon coupling rates, and find a maximal steady entanglement induced by a population inversion. The results suggest that highly tunable correlations and entanglement can be generated by phonon-qubit hybrid system, which will contribute to the development of mesoscopic physics and solid-state quantum computation.

show abstract

“…where P is the projector operator to the non-phonon subspace. Denoting x / ∈Im P ,y∈Im P 1 Ey−Ex P x AP y by (A), the perturbation terms read [42] ν (1) = P V P = 0,…”

Section: Discussionmentioning

confidence: 99%

“…To extract the effective indirect coupling from the total Hamiltonian of system, we calculate the effective Hamiltonian of the two coupled qubits [41,42]. For simplicity, only the states with no more than one phonon in total is taken in consideration, and the calculation is performed to the third order.…”

Section: B Effective Hamiltonianmentioning

confidence: 99%