Stückelberg interferometry using spin-orbit-coupled cold atoms in an optical lattice

Liang, Shuang; Li, Zheng-Chun; Zhang, Weiping; Zhou, Lu; Lan, Zhihao

doi:10.1103/physreva.102.033332

Cited by 13 publications

(3 citation statements)

References 82 publications

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“…(Zenesini et al, 2010), where the respective double-passage model was used for a description of the experiment. These systems can also be used for multipassage interferometry (Béguin et al, 2022;Liang et al, 2020;Plötz and Wimberger, 2011).…”

Section: E Microscopic Systemsmentioning

confidence: 99%

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Ivakhnenko¹,

Shevchenko²,

Nori³

2022

Preprint

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H. Comparison of different methods IV. Interferometry A. Superconducting circuits B. Semiconductor quantum dots C. Donors and impurities (atomic qubits) D. Graphene E. Microscopic systems F. Other systems G. Multilevel systems V. Quantum control A. Coherent control of microscopic and mesoscopic structures B. Universal single-and two-qubit control C. Shortcuts to adiabaticity D. Adiabatic quantum computation VI. Related classical coherent phenomena VII. Conclusion 1. With near-adiabatic limit (Landau) 2. With parabolic cylinder functions (Zener) 3. With contour integrals (Majorana) 4. With WKB approximation and phase integral method (Stückelberg) 5. Duration of the LZSM transition B. Description of a periodically driven two-level system 1. Adiabatic-impulse model a. Adiabatic evolution b. Multiple-passage evolution 2. Rotating-wave approximation (RWA) 3. Floquet theory 4. Rate equation and white noise approach a. Transition rate b. Rate equation c. From Bessel to Airy d. Double-passage regime ReferencesAbbreviations and most-often-used symbols Because this review article is quite long, for the readers' convenience, we present the main abbreviations used. This list also includes some of the topics covered.

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Section: E Microscopic Systemsmentioning

confidence: 99%

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Ivakhnenko¹,

Shevchenko²,

Nori³

2022

Preprint

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“…This novel ground state phase of the interacting Bose-Hubbard flux ladder provides superior conditions for the generation of multiple equilibrium states and becomes an ideal platform for the study of nonequilibrium quantum dynamics. Stability and superfluidity, chiral Bloch-Zener dynamics, Stückelberg interference, critical slowing down of the collective modes, and dynamical supersolidlike phases are presented [54][55][56][57][58][59][60][61][62][63]. However, which nontrivial nonequilibrium quantum dynamics can be excited by applying an external perturbation to resonantly couple the two degenerate quantum states in Bose-Hubbard flux ladder has never been studied.…”

Section: Introductionmentioning

confidence: 99%

Defect induced nonequilibrium quantum dynamics in an interacting Bose–Hubbard flux ladder

et al. 2023

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The interacting Bose-Hubbard flux ladder provides an ideal model to probe novel quantum phenomena of many-body systems. Here, we report on the first direct observation of dynamical quantum phase transition (DQPT) in interacting Bose-Hubbard flux ladder induced by defect perturbation, which provides a new scheme for experimental design and manipulation of the DQPT in ultracold atomic system. Under the mean-field approximation, DQPT is identified by resolving the order parameter and the temporal evolution of patterns of atomic density distributions and local current configurations of the system. The threshold for occurrence of DQPT is obtained analytical and the physical mechanism of DQPT is revealed explicitly. Periodic appearance and annihilation of dynamical vortex and the manifestation of symmetry restoration after perturbation from broken-symmetry phase are observed. A thorough connection among the order parameter dynamics, the underlying ground state phase transition and nonequilibrium dynamics is established in real time and real space for the first time. Interestingly, by quenching the defect, the underlying ground state phases are captured, which provides a feasible dynamical measurement scheme for the observation of the underlying ground state phase which is challenging to reach experimentally.

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“…Based on the dynamic research of the magnetic ladder system, it is shown that there are also abundant nonlinear dynamic characteristics in this system, e.g. chiral Bloch-Zener dynamics, Stückelberg interference, critical slowing down of the collective modes, dynamics supersolidlike phases, and nonequilibrium quantum dynamics [36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

The ground state, localization, and chiral edge dynamics of a three-legged bosonic magnetic ladder

Zhang,

Qin,

Wang

et al. 2023

New J. Phys.

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Three-legged bosonic/fermionic magnetic ladder, reproducing the main features of magnetic lattice systems, is an ideal model to study the edge-bulk coupling and chiral edge dynamics, which are a hallmark of quantum Hall physics. Here, the ground state transition, localization, and chiral edge (bulk) states of an interacting three-legged bosonic magnetic ladder are studied analytically and numerically. When the system is in a quasi-steady state, using variational analysis, the threshold for the transition from zero momentum state to plane wave state is obtained. The energy spectrum, the ground state diagram, the chiral current of the system are presented, and the chiral current reversal at the state transition point is observed. Furthermore, the localization and its stability in the system are discussed, and rich localized phenomena (diffusion, breather, soliton, and self-trapping) are predicted. Stable soliton/breather prefers to form an edge state, while the self-trapping is favorite to form a bulk state, i.e. localized edge and bulk states are obtained. Particularly, for the unstable soliton in the ground state or metastable state, different kinds of chiral edge/bulk state and edge-bulk coupling are observed. The stability of the localized states, the edge-bulk coupling characteristics, and the chirality of the system depend on the energy band structure of the system. Additionally, a controllable transition between localized edge state and bulk state is realized by quenching the soliton state. We proposed a theoretical evidence to design and manipulate edge-bulk coupling and different kinds of localized/chiral edge (bulk) states in three-legged bosonic magnetic ladder.

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Stückelberg interferometry using spin-orbit-coupled cold atoms in an optical lattice

Cited by 13 publications

References 82 publications

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Quantum Control via Landau-Zener-Stückelberg-Majorana Transitions

Defect induced nonequilibrium quantum dynamics in an interacting Bose–Hubbard flux ladder

The ground state, localization, and chiral edge dynamics of a three-legged bosonic magnetic ladder

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