Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference

Abstract

Since the pioneering works by Landau, Zener, Stückelberg, and Majorana (LZSM), it has been known that driving a quantum two-level system results in tunneling between its states. Even though the interference between these transitions is known to be important, it is only recently that it became both accessible, controllable, and useful for engineering quantum systems. Here, we study systematically various aspects of LZSM physics and review the relevant literature, significantly expanding the review article in [Shevchenko, S. N., S. Ashhab, and F. Nori (2010), "Landau-Zener-Stückelberg interferometry," Phys. Rep. 492, 1].

arXiv commentReview article, 100 pages, 19 figures, published in Physics Reports (Open access)

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• Periodically Driven Three-Level Systems
• Generation of coherence in an exactly solvable nonlinear nanomechanical system
• Photon-assisted tunneling and charge dephasing in a carbon nanotube double quantum dot
• Superadiabatic theory for Cooper pair pumping under decoherence
• Single Cooper-pair pumping in the adiabatic limit and beyond
• Thermal Excitation of Multi-Photon Dressed States in Circuit Quantum Electrodynamics
• Dynamical Decoupling of Quantum Two-Level Systems by Coherent Multiple Landau-Zener Transitions
• Dynamics of molecular nanomagnets in time-dependent external magnetic fields: Beyond the Landau-Zener-Stückelberg model
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• Landau-Zener transitions and Adiabatic impulse approximation in an array of two Rydberg atoms with time-dependent detuning
• Moiré Landau fans and magic zeros
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• Nonlinear dynamics of two coupled nano-electromechanical resonators
• Tuning towards dynamic freezing using a two-rate protocol
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• Realization of Geometric Landau-Zener-Stückelberg Interferometry
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• Carrier-envelope phase effects in graphene
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• Impedance measurement technique for quantum systems
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• A double-slit proposal for quantum annealing
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• Characterization of an atom interferometer in the quasi-Bragg regime
• A quantum interference capacitor based on double-passage Landau-Zener-Stückelberg-Majorana interferometry
• Landau-Zener-Stuckelberg-Majorana interference in a 3D transmon driven by a chirped microwave
• Manipulating the Majorana Qubit with the Landau-Zener-Stückelberg Interference
• Dephasing and Hyperfine Interaction in Carbon Nanotubes Double Quantum Dots: Disordered Case
• Topological Landau-Zener Bloch Oscillations in Photonic Floquet Lieb Lattices
• Ultrafast Manipulation of a Double Quantum Dot via Lyapunov Control Method
• Noise-Protected Gate for Six-Electron Double-Dot Qubits
• Instantaneous coherent destruction of tunneling and fast quantum state preparation for strongly pulsed spin qubits in diamond
• Voltage staircase in a current-biased quantum-dot Josephson junction
• Role of control constraints in quantum optimal control
• Effect of environmental spins on Landau-Zener transitions
• Dissipative Landau-Zener level crossing subject to continuous measurement: Excitation despite decay
• Multiphoton Transitions in a Spin System Driven by Strong Bichromatic Field
• Dissipative two-level systems under ultrastrong off-resonant driving
• Stückelberg interferometry using spin-orbit-coupled cold atoms in an optical lattice
• Exact Classification of Landau-Majorana-Stückelberg-Zener Resonances By Floquet Determinants
• Dynamical Detection of Topological Phase Transitions in Short-Lived Atomic Systems
• The visibility study of S-T${}_{+}$ Landau-Zener-Stückelberg oscillations without applied initialization
• Measurement of tunnel coupling in a Si double quantum dot based on charge sensing
• Spin dynamics at the singlet-triplet crossings in double quantum dot
• Interaction induced Landau-Zener transitions
• Singularity of the time-energy uncertainty in adiabatic perturbation and cycloids on a Bloch sphere
• Michelson Interferometry of High-order Harmonic Generation in Solids
• Coherent destruction of tunneling in graphene irradiated by elliptically polarized lasers
• Effects of charge noise on a pulse-gated singlet-triplet $S-T_{-}$ qubit
• Accuracy of the adiabatic-impulse approximation for closed and open quantum systems
• Relations between the single-pass and double-pass transition probabilities in quantum systems with two and three states
• Coherent electron transport in silicon quantum dots
• Dynamics of periodic anticrossings: Decoherence, pointer states and hysteresis curves
• Generation of Schrödinger cat states through photon-assisted Landau-Zener-Stückelberg interferometry
• Assessment of weak-coupling approximations on a driven two-level system under dissipation
• Geometric phase in Stückelberg interferometry
• Defect production in nonequilibrium phase transitions: Experimental investigation of the Kibble-Zurek mechanism in a two-qubit quantum simulator
• Non-adiabatic extension of the Zak phase and charge pumping in the Rice--Mele model
• Butterfly hysteresis curve is a signature of adiabatic Landau-Zener transition
• Control of spectroscopic features of multiphoton transitions in two coupled qubits by driving fields
• High Landau levels of 2D electrons near the topological transition caused by interplay of spin-orbit and Zeeman energy shifts
• An analytical double-unitary-transformation approach for strongly and periodically driven three-level systems
• Generalized speed and cost rate in transitionless quantum driving
• Landau-Zener-Stuckelberg interference in a multi-anticrossing system
• Interference effect in the Landau-Zener tunneling of the antiferromagnetically coupled dimer of single-molecule magnets
• Non-adiabatic transitions in a non-symmetric optical lattice
• Instanton versus traditional WKB approach to Landau - Zener problem
• Quadratic-nonlinear Landau-Zener transition for association of an atomic Bose-Einstein condensate with inter-particle elastic interactions included
• Investigation of robust population transfer using quadratically chirped laser interacting with two-level system
• Landau-Zener Transitions and Rabi Oscillations in a Cooper-Pair Box: Beyond Two-Level Models
• Measuring adiabaticity in non-equilibrium quantum systems
• Dynamical transitions in a modulated Landau-Zener model with finite driving fields
• Time-dependent two-level models and zero-area pulses
• Conceptual inconsistencies in finite-dimensional quantum and classical mechanics
• Landau-Zener-Stueckelberg interferometry with driving fields in the quantum regime
• Experimental validation of the Kibble-Zurek Mechanism on a Digital Quantum Computer
• Population transfer driven by far-off-resonant fields
• Time-optimal control fields for quantum systems with multiple avoided crossings
• Charge qubit driven via the Josephson nonlinearity
• Landau-Zener-Stückelberg Spectroscopy of a Superconducting Flux Qubit
• Exotic dynamical evolution in a secant-pulse driven quantum system
• Finite time Stückelberg interferometry with nanomechanical modes
• Rapid magnetic oscillations and magnetic breakdown in quasi-1D conductors
• Pulsed quantum annealing
• The relationship between minimum gap and success probability in adiabatic quantum computing
• Model of multiphoton transitions in a current-biased Josephson junction
• Readout of Majorana bound states via Landau-Zener transition
• Dissipation in small systems: A Landau-Zener approach
• Greenberger-Horne-Zeilinger state generation in qubit-chains via a single $\pi /2$-pulse
• Fragility of superposition states evaluated by the Loschmidt Echo
• Analytical Results for the Dynamics of Parabolic Level-Crossing Model
• Floquet chiral hinge modes and their interplay with Weyl physics in a three-dimensional lattice
• Robust Diabatic Quantum Search by Landau-Zener-Stückelberg Oscillations
• Frequency mixing in a ferrimagnetic sphere resonator
• Nonlinear Bloch-Zener oscillations for Bose-Einstein condensates in a Lieb optical lattice
• Application of the Landau-Zener-Stueckelberg-Majorana dynamics in an electrically driven flip of a hole spin
• Bloch-like energy oscillations
• Rate-equation approach for multi-level quantum systems
• Tunable RKKY interaction in a double quantum dot nanoelectromechanical device
• Beyond Planck-Einstein quanta: amplitude driven quantum excitation
• Revealing the system-bath coupling via Landau-Zener-Stückelberg interferometry in superconducting qubits
• Quantum emulation of coherent backscattering in a system of superconducting qubits
• Spin-valley resolved photon-assisted tunneling in carbon nanotube double quantum dots
• Multi-particle interferometry in the time-energy domain with localized topological quasiparticles
• Bounds for nonadiabatic transitions
• Effects of quasiparticle tunneling in a circuit-QED realization of a strongly driven two-level system
• Manipulating matter waves in an optical superlattice
• Quantization of the superconducting energy gap in an intense microwave field
• Coherent population transfer via state-independent quasi-adiabatic dynamics
• Semiclassical Lattice effects on interband tunneling of a two-state system
• Landau-Zener-Stuckelberg interferometry in multilevel superconducting flux qubit
• The possibility of direct observation of the Bloch-Siegert shift in coherent dynamics of multiphoton Raman transitions
• Electric-dipole-induced resonance and decoherence of a dressed spin in a quantum dot
• Nonequilibrium Dynamics of Ultracold Fermi Superfluids
• Non-adiabatic transitions in parabolic and super-parabolic $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian systems
• Observation of adiabatic and non-adiabatic behavior for CPMG sequence in time-dependent magnetic fields
• Indirect Methods to Control Population Distribution in a Large Spin System
• Multiple resonant manipulation of qubits by train of pulses
• Low-frequency and Moiré Floquet engineering: a review
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• Restoring Adiabatic State Transfer in Time-Modulated Non-Hermitian Systems
• Driven spin dynamics enhances cryptochrome magnetoreception: Towards live quantum sensing
• Interplay between disorder and topology in Thouless pumping on a superconducting quantum processor
• Probing two driven double quantum dots strongly coupled to a cavity
• Coupler microwave-activated controlled phase gate on fluxonium qubits
• Nonlinear Non-Hermitian Landau-Zener-Stückelberg-Majorana interferometry
• Quantifying quantum coherence of multiple-charge states in tunable Josephson junctions
• Counterdiabatic Driving for Periodically Driven Systems
• Optimizing the transport of Majorana zero modes in one-dimensional topological superconductors
• Nonlinear Landau-Zener-Stückelberg-Majorana problem
• Coherent Charge Oscillations in a Bilayer Graphene Double Quantum Dot
• On the applicability of the Landau-Zener formula to axion-photon conversion
• Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
• Alternative fast quantum logic gates using nonadiabatic Landau-Zener-Stückelberg-Majorana transitions
• Coherent dynamics of a photon-dressed qubit
• Strong-Field Bloch Electron Interferometry for Band Structure Retrieval
• Adiabatic Cooper pair splitter
• Optimal control of a cavity-mediated iSWAP gate between silicon spin qubits
• Exploring Quantum Control Landscape and Solution Space Complexity through Dimensionality Reduction & Optimization Algorithms
• Single-mode magnon-polariton lasing and amplification controlled by dissipative coupling
• Tuning the initial phase to control the final state of a driven qubit
• Bloch Oscillation Phases investigated by Multi-path Stuckelberg Atom Interferometry
• Partial Landau-Zener transitions and applications to qubit shuttling
• Dynamical simulations of carotenoid photoexcited states using density matrix renormalization group techniques
• Genuine Multipartite Entanglement in Quantum Optimization
• Nonlinear multi-state tunneling dynamics in a spinor Bose-Einstein condensate
• Rate-equation approach for multi-level quantum systems
• Realizing a Continuous Set of Two-Qubit Gates Parameterized by an Idle Time
• Unified linear response theory of quantum electronic circuits
• Cascaded-mode interferometers: spectral shape and linewidth engineering
• Low-excitation transport and separation of high-mass-ratio mixed-species ion chains
• Dynamics of dissipative Landau-Zener transitions in an anisotropic three-level system
• Collisionless dynamics of superconducting gap excited by spin-splitting field
• Interferometry of multi-level systems: rate-equation approach for a charge qudit
• An experimental scheme for determining the Berry phase in two-dimensional quantum materials with a flat band
• Maximally entangled Rydberg-atom pairs via Landau-Zener sweeps
• Controllable single spin evolution at sub-harmonics of electric dipole spin resonance enhanced by four-level Landau-Zener-St{ü}ckelberg-Majorana interference
• Quantum Dissipation at Conical Intersections of Quasienergies
• Flux qubit-based detector of microwave photons
• Quantum work statistics of controlled evolutions
• Noisy Demkov-Kunike model
• Landau-Zener without a Qubit: Unveiling Multiphoton Interference, Synthetic Floquet Dimensions, and Dissipative Quantum Chaos
• Electrically tunable quantum interference of atomic spins on surfaces
• Beyond-adiabatic Quantum Admittance of a Semiconductor Quantum Dot at High Frequencies: Rethinking Reflectometry as Polaron Dynamics
• Ab-initio Simulations of Coherent Phonon-Induced Pumping of Carriers in Zirconium Pentatelluride
• Visualized Wave Mechanics by Coupled Macroscopic Pendula: Classical Analogue to Driven Quantum Bits
• Spin flip locking by the tunneling and relaxation in a driven double quantum dot with spin-orbit coupling
• Flux-Tunable Hybridization in a Double Quantum Dot Interferometer
• Solution to a class of multistate Landau-Zener model beyond integrability conditions
• Quantum spectral analysis by continuous measurement of Landau-Zener transitions
• High-harmonic generation in zinc oxide subjected to intense mid-infrared femtosecond laser pulse
• Suppressing Si Valley Excitation and Valley-Induced Spin Dephasing for Long-Distance Shuttling
• Topological state permutations in time-modulated non-Hermitian multiqubit systems with suppressed non-adiabatic transitions
• Insights from the exact analytical solution of periodically driven transverse field Ising chain
• Symmetry-protected Landau-Zener-Stückelberg-Majorana interference and non-adiabatic topological transport of edge states
• Derivation of the Landau-Zener formula via functional equations
• Coherent Quantum Speed Limits
• Nonadiabatic transitions during a passage near a critical point
• Landau-Zener transition rates of superconducting qubits and absorption spectrum in quantum dots
• Hidden facts in Landau-Zener transitions revealed by the Riccati Equation
• Unconventional gap dependence of high harmonic generation in the extremely strong light-matter coupling regime
• Hidden time-nonlocal Floquet symmetries
• Analytic approach to the Landau-Zener problem in bounded parameter space
• Theory of Multi-photon Processes for Applications in Quantum Control
• A spectrum-based shortcut method for topological systems
• Non-linear photoconductivity of strongly driven graphene
• Electric circuit analog of Landau-Zener tunneling using time-varying elements
• Problem of nonlinear conductivity within relaxation time approximation in noncentrosymmetric insulators
• Landau-Zener-Stückelberg-Majorana dynamics of magnetized quarkonia
• Noninvasive and nonadiabatic quantum Maxwell demon
• Demonstration of geometric diabatic control of quantum states
• Multi-tunneling effect of nonreciprocal Landau-Zener tunneling: Insights from DC field responses
• Universal quantum gates by nonadiabatic holonomic evolution for the surface electron
• Interradical motion can push magnetosensing precision towards quantum limits
• Multipassage Landau-Zener tunneling oscillations in transverse/longitudinal dual dressing of atomic qubits
• Resonant tunneling and quantum interference of a two-spin system in silicon tunnel FETs
• Multi-tasking through quantum annealing
• Tunable frequency conversion and comb generation with a superconducting artificial atom
• Parity flipping mediated by a quantum dot in Majorana Josephson junctions
• Theory of anomalous Landau-Zener tunneling induced by nonlinear coupling
• Probing dielectric breakdown in Mott insulators through current oscillations
• Landau-Zener tunneling and quantum interference of Andreev states
• Theoretical study of the I${}^{+}$ + I${}^{-}$ mutual neutralization reaction
• Elementary asymptotic approach to the Landau-Zener problem
• Graph-theoretical search for integrable multistate Landau-Zener models
• Photon-assisted Landau Zener transitions in a tunable driven Rabi dimer coupled to a micromechanical resonator
• Multi-stage Stern-Gerlach experiment modeled (with additional appendices)
• Interferometry and dynamics of a transmon-type qubit in front of a mirror