Quantum chaos and order based on classically moving reference frames

Wang, Hai; Xie, Qing; Fang, Jianshu

doi:10.1103/physreva.72.012116

Cited by 21 publications

(21 citation statements)

References 61 publications

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“…of a driven harmonic oscillator with the exact complete solutions being the orthonormal generalized coherent states [44,45]…”

Section: A Complete Set Of Majorana-like Degenerate Ground Statesmentioning

confidence: 99%

“…The solutions f nu(nv) of Eq. ( 7) can be the eigenstates of a harmonic oscillator for the undriven case with ǫ = 0 and the generalized coherent states for any driving strength [44,45], which lead to different forms of Eq. ( 8) and the corresponding rich physics.…”

Section: A Complete Set Of Majorana-like Degenerate Ground Statesmentioning

confidence: 99%

“…By making use of the orthonormalization of f nu(nv) and Eq. ( 7), the expected energy of the system reads [44]…”

Section: A Complete Set Of Majorana-like Degenerate Ground Statesmentioning

confidence: 99%

“…The general solution can describe all properties of the system and the complete solution can also describe more physics than any particular solution can. In the previous work, we derived a set of generalized coherent states for a trapped ion system [44,45], which just is a set of complete solutions describing a complete set of Schrödinger kitten (or cat) states. As pointed out in Ref.…”

Section: Introductionmentioning

confidence: 99%

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Braiding a novel kind of Majorana-like quasiparticles in nanowire quantum dots

Kuo¹,

Chen²,

Wang³

2018

Preprint

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For an electrically driven electron confined in a nanowire quantum dot with spin-orbit coupling (SOC), we find a SOC-magnetism phase-locked condition under which we derive a complete set of Schrödinger kitten states which contains some novel degenerate ground states with oscillating wave packets or stationary double packets in undriven case. We identify such wave packets as Majoranalike quasiparticles and demonstrate that they obey non-Abelian statistics and behave similarly to neutral particles. The braiding operations based on the interchanges of the degenerate non-Abelian quasiparticles are shown, which shift the system between different ground states and may be insensitive to perturbations and weak noise from the environment. The results could be tested experimentally in the existing setups and could be treated as the leading-order results to directly extended to an array of weakly coupled single-electron quantum dots for encoding topological qubits.

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“…of a driven harmonic oscillator with the exact complete solutions being the orthonormal generalized coherent states [44,45]…”

Section: A Complete Set Of Majorana-like Degenerate Ground Statesmentioning

confidence: 99%

Section: A Complete Set Of Majorana-like Degenerate Ground Statesmentioning

confidence: 99%

“…By making use of the orthonormalization of f nu(nv) and Eq. ( 7), the expected energy of the system reads [44]…”

Section: A Complete Set Of Majorana-like Degenerate Ground Statesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Braiding a novel kind of Majorana-like quasiparticles in nanowire quantum dots

Kuo¹,

Chen²,

Wang³

2018

Preprint

Self Cite

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“…[27], and treat Φ(t) as the corresponding known functions. In previous work, [31,37,38] we have used the method of ansatz solution to analytically study the GPEs. Here we take the exact deformed-soliton solution [36] into Eq.…”

Section: Exact Nonautonomous Deformed-soliton Solutionsmentioning

confidence: 99%

Nonautonomous deformed solitons in a Bose—Einstein condensate

Li¹,

Wang²,

Yan³

2013

Chinese Phys. B

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We study exact single-soliton solutions of an attractive Bose—Einstein condensate governed by a one-dimensional nonautonomous Gross—Pitaevskii system. For several different forms of time-dependent atom—atom interaction and external parabolic potential which satisfy the exact integrability scenario, we construct a set of new analytical nonautonomous deformed-soliton solutions, including the macroscopic wave function and the position of soliton's center of mass. The soliton characteristics are modulated by the external field parameters and deformation factors related to the number of the condensed atoms and the initial conditions. The results suggest a simple and effective method for experimentally generating matter-wave deformed solitons and manipulating their motions.

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