Landau-Zener-Stuckelberg interferometry

Abstract

A transition between energy levels at an avoided crossing is known as a Landau-Zener transition. When a two-level system (TLS) is subject to periodic driving with sufficiently large amplitude, a sequence of transitions occurs. The phase accumulated between transitions (commonly known as the Stuckelberg phase) may result in constructive or destructive interference. Accordingly, the physical observables of the system exhibit periodic dependence on the various system parameters. This phenomenon is often referred to as Landau-Zener-Stuckelberg (LZS) interferometry. Phenomena related to LZS interferometry occur in a variety of physical systems. In particular, recent experiments on LZS interferometry in superconducting TLSs (qubits) have demonstrated the potential for using this kind of interferometry as an effective tool for obtaining the parameters characterizing the TLS as well as its interaction with the control fields and with the environment. Furthermore, strong driving could allow for fast and reliable control of the quantum system. Here we review recent experimental results on LZS interferometry, and we present related theory.

34 single-column pages, 11 figures

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• Geometric phase in Stückelberg interferometry
• Quasi-Bell states in a strongly coupled qubit-oscillator system and their delocalization in the phase space
• An analytical double-unitary-transformation approach for strongly and periodically driven three-level systems
• Tunable superconductivity and Möbius Fermi surfaces in an inversion-symmetric twisted van der Waals heterostructure
• Unified analytical treatments to qubit-oscillator systems
• Ground state of the asymmetric Rabi model in the ultrastrong coupling regime
• Non-adiabatic extension of the Zak phase and charge pumping in the Rice--Mele model
• Dimensional reduction from magnetic field in moiré superlattices
• Flopping-mode electron dipole spin resonance in the strong-driving regime
• High Landau levels of 2D electrons near the topological transition caused by interplay of spin-orbit and Zeeman energy shifts
• Control of spectroscopic features of multiphoton transitions in two coupled qubits by driving fields
• Diagnosing Altermagnetic Phases through Quantum Oscillations
• Enhancement of quantum speed limit time due to cooperative effects in multilevel systems
• Investigation of robust population transfer using quadratically chirped laser interacting with two-level system
• Monitored non-adiabatic and coherent-controlled quantum unital Otto heat engines: First four cumulants
• Landau-Zener Transitions and Rabi Oscillations in a Cooper-Pair Box: Beyond Two-Level Models
• Tuning the initial phase to control the final state of a driven qubit
• Bloch Oscillation Phases investigated by Multi-path Stuckelberg Atom Interferometry
• Unifying Floquet theory of longitudinal and dispersive readout
• Design of a Cooper pair box electrometer for application to solid-state and astroparticle physics
• 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
• Simulating systems of itinerant spin-carrying particles using arrays of superconducting qubits and resonators
• Dirac fermions in graphene and analogues: magnetic field and topological properties
• Non-adiabatic transitions in a non-symmetric optical lattice
• Landau-Zener-Stuckelberg interference in a multi-anticrossing system
• Nonlinear spectroscopy of superconducting anharmonic resonators
• Population transfer driven by far-off-resonant fields
• Speeding up quantum adiabatic processes with dynamical quantum geometric tensor
• Landau-Zener-Stueckelberg interferometry with driving fields in the quantum regime
• Charge qubit driven via the Josephson nonlinearity
• Nonparaxiality-triggered Landau-Zener transition in topological photonic waveguides
• Two-photon driven nonlinear dynamics and entanglement of an atom in a non uniform cavity
• Fast high-fidelity geometric gates for singlet-triplet qubits
• Landau-Zener-Stückelberg Spectroscopy of a Superconducting Flux Qubit
• Partial Landau-Zener transitions and applications to qubit shuttling
• Quantumness and speedup limit of a qubit under transition frequency modulation
• Holonomic implementation of CNOT gate on topological Majorana qubits
• Time-optimal control fields for quantum systems with multiple avoided crossings
• Manipulation of nanomechanical resonator via shaking optical frequency
• Exotic dynamical evolution in a secant-pulse driven quantum system
• Decoherence of electron spin qubit during transfer between two semiconductor quantum dots at low magnetic fields
• Rapid magnetic oscillations and magnetic breakdown in quasi-1D conductors
• Readout of Majorana bound states via Landau-Zener transition
• Single spin Landau-Zener-Stückelberg-Majorana interferometry of Zeeman-split states with strong spin-orbit interaction in a double quantum dot
• The relationship between minimum gap and success probability in adiabatic quantum computing
• Numerical computation of dynamical Schwinger-like pair production in graphene
• Finite time Stückelberg interferometry with nanomechanical modes
• Offset Charge Dependence of Measurement-Induced Transitions in Transmons
• Irregular Bloch Zener oscillations in two-dimensional flat-band Dirac materials
• Characterization of drive-induced unwanted state transitions in superconducting circuits
• Pulsed quantum annealing
• Landau-Zener transitions in a fermionic dissipative environment
• Two rate periodic protocol with dynamics driven through many cycles
• Bloch-Siegert oscillations in the Rabi model with an amplitude-modulated driving field
• Dissipation in small systems: A Landau-Zener approach
• Fragility of superposition states evaluated by the Loschmidt Echo
• Geometric energy transfer in a Stückelberg interferometer of two parametrically coupled mechanical modes
• Hybrid quantum-classical chaotic NEMS
• Quantum emulation of coherent backscattering in a system of superconducting qubits
• Quantum state engineering by periodical two-step modulation in atomic system
• Beyond Planck-Einstein quanta: amplitude driven quantum excitation
• Rate-equation approach for multi-level quantum systems
• Analytical Results for the Dynamics of Parabolic Level-Crossing Model
• Unified linear response theory of quantum electronic circuits
• Controlling properties of a hybrid Cooper pair box interacting with a nanomechanical resonator in the presence of Kerr nonlinearities and losses
• Tunneling of fluxons via a Josephson resonant level
• Revealing the system-bath coupling via Landau-Zener-Stückelberg interferometry in superconducting qubits
• Adiabaticity of spin dynamics in diamond nitrogen vacancy centers in time-dependent magnetic fields
• Frequency mixing in a ferrimagnetic sphere resonator
• Application of the Landau-Zener-Stueckelberg-Majorana dynamics in an electrically driven flip of a hole spin
• Robust Diabatic Quantum Search by Landau-Zener-Stückelberg Oscillations
• Nonlinear Bloch-Zener oscillations for Bose-Einstein condensates in a Lieb optical lattice
• Electric-field-induced interferometric resonance of a one-dimensional spin-orbit-coupled electron
• Floquet chiral hinge modes and their interplay with Weyl physics in a three-dimensional lattice
• Bloch-like energy oscillations
• Check-probe spectroscopy of lifetime-limited emitters in bulk-grown silicon carbide
• Tunable RKKY interaction in a double quantum dot nanoelectromechanical device
• Higher-order geometric phase for qubits in a bichromatic field
• Radiofrequency response of the optically detected level anti-crossing signal in NV color centers in diamond in zero and weak magnetic fields
• Spin-valley resolved photon-assisted tunneling in carbon nanotube double quantum dots
• Controllable single spin evolution at sub-harmonics of electric dipole spin resonance enhanced by four-level Landau-Zener-St{ü}ckelberg-Majorana interference
• Using machine learning to find exact analytic solutions to analytically posed physics problems
• Uncover band topology via quantized drift in two-dimensional Bloch oscillations
• Effects of quasiparticle tunneling in a circuit-QED realization of a strongly driven two-level system
• Distinguishing trivial and topological quadrupolar insulators by Wannier-Stark ladders
• Bounds for nonadiabatic transitions
• Controlling qubit-oscillator systems using linear parameter sweeps
• Simulating quantum circuits by adiabatic computation: improved spectral gap bounds
• Multi-particle interferometry in the time-energy domain with localized topological quasiparticles
• Landau-Zener transition between two levels coupled to continuum
• Transport theory for topological Josephson junctions with a Majorana qubit
• Zener tunneling isospin Hall effect in HgTe quantum wells and graphene multilayers
• Full tunability and quantum coherent dynamics of a driven multilevel system
• Coherent Cooper-pair pumping by magnetic flux control
• Pulse shaping in the terahertz frequency range for the control of photo-excited carriers in graphene
• Resonance phenomena in the interaction of a many-photon wave packet and a qubit
• Simulation of the Majorana equation in circuit QED
• Coherent population transfer via state-independent quasi-adiabatic dynamics
• Beyond-adiabatic Quantum Admittance of a Semiconductor Quantum Dot at High Frequencies: Rethinking Reflectometry as Polaron Dynamics
• Chaotic dynamics and spin correlation functions in a chain of nanomagnets
• Tunable $\Lambda$-type system made of a superconducting qubit pair
• Monitoring Entanglement Evolution and Collective Quantum Dynamics
• Testing Time Reversal Symmetry in Artificial Atoms
• Semiclassical Lattice effects on interband tunneling of a two-state system
• Ab-initio Simulations of Coherent Phonon-Induced Pumping of Carriers in Zirconium Pentatelluride
• Manipulating matter waves in an optical superlattice
• Periodic dynamics of fermionic superfluids in the BCS regime
• Interplay of Zeeman Splitting and Tunnel Coupling in Coherent Spin Qubit Shuttling
• Broadband Microwave Isolation with Adiabatic Mode Conversion in Coupled Superconducting Transmission Lines
• The possibility of direct observation of the Bloch-Siegert shift in coherent dynamics of multiphoton Raman transitions
• Topological state permutations in time-modulated non-Hermitian multiqubit systems with suppressed non-adiabatic transitions
• Deterministic transfer of an unknown qutrit state assisted by the low-Q microwave resonators
• Tunable quantum interference effects in Floquet two- and three-level systems
• Solution to a class of multistate Landau-Zener model beyond integrability conditions
• Open Systems' Density Matrix Properties in a Time Coarsened Formalism
• Mesoscopic fluctuations in biharmonically driven flux qubits
• QFT approach to dressed particle processes in preheating and non-perturbative mechanism in kinematically-forbidden regime
• Spin flip locking by the tunneling and relaxation in a driven double quantum dot with spin-orbit coupling
• Probing the Quantum Capacitance of Rydberg Transitions of Surface Electrons on Liquid Helium via Microwave Frequency Modulation
• Symmetry-protected Landau-Zener-Stückelberg-Majorana interference and non-adiabatic topological transport of edge states
• Spin dynamics and spin-dependent recombination of a polaron pair under a strong ac drive
• Scrambling and quantum feedback in a nanomechanical system
• Landau-Zener transition rates of superconducting qubits and absorption spectrum in quantum dots
• Order parameter dynamics of the non-linear sigma model in the large $N$ limit
• Landau-Zener transition between two quantum dots coupled by resonant tunneling
• Nonequilibrium Dynamics of Ultracold Fermi Superfluids
• Observation of adiabatic and non-adiabatic behavior for CPMG sequence in time-dependent magnetic fields
• Quantum Oscillation and Landau-Zener transition in Untilted Nodal line semimetals under a time-periodic magnetic field
• Derivation of the Landau-Zener formula via functional equations
• Nonadiabatic transition at a band-touching point
• Indirect Methods to Control Population Distribution in a Large Spin System
• Chaotic spin-dependent electron dynamics in a field-driven double dot potential
• Hidden facts in Landau-Zener transitions revealed by the Riccati Equation
• Floquet dynamics of Rabi model beyond the counterrotating hybridized rotating wave method
• Modulation of spin-orbit coupled Bose-Einstein condensates: analytical characterization of acceleration-induced transitions between energy bands
• Noninvasive and nonadiabatic quantum Maxwell demon
• A tale of two kinds of exceptional point in a hydrogen molecule
• Multiple resonant manipulation of qubits by train of pulses
• Calorimetric measurement of quantum work
• Josephson radiation patterns in underdamped topological Josephson junctions
• Multipassage Landau-Zener tunneling oscillations in transverse/longitudinal dual dressing of atomic qubits
• Theory of Multi-photon Processes for Applications in Quantum Control
• Vibrationally coupled Rydberg atom-ion molecules
• Strong Field Optical Hall Effect in 2D Weyl Semimetal
• Effective dynamics and quantum state engineering by periodic kicks
• Demonstration of geometric diabatic control of quantum states
• Parametric Drive of a Double Quantum Dot in a Cavity
• Phase sensitive Landau-Zener-Stückelberg interference in superconducting quantum circuit
• Spin separation and exchange for quantum dots in the Overhauser field
• Flux pumping of Cooper pairs through a Josephson Energy-Suppression Pump
• Multi-tunneling effect of nonreciprocal Landau-Zener tunneling: Insights from DC field responses
• Robust external spin hyperpolarization of quadrupolar nuclei enabled by strain
• Microwave interference from a spin ensemble and its mirror image in waveguide magnonics
• Microwave spectroscopy of spin-orbit coupled states: energy detuning versus interdot coupling modulation
• Low-frequency and Moiré Floquet engineering: a review
• Fermi Level Fluctuations, Reduced Effective Masses and Zeeman Effect during Quantum Oscillations in Nodal Line Semimetals
• Simulating the Kibble-Zurek mechanism of the Ising model with a superconducting qubit system
• Landau-Zener-Stückelberg-Majorana dynamics of magnetized quarkonia
• Su-Schrieffer-Heeger model driven by sequences of two unitaries: periodic, quasiperiodic, aperiodic, and random protocols
• Emission spectrum of a qubit under its deep strong driving in the high-frequency dispersive regime
• Quantum effect of inductance on geometric Cooper-pair transport
• Chirp control of directional current in monolayer graphene by intense few-cycle laser
• Few strongly interacting fermions of different mass driven in the vicinity of a critical point
• Geometric and holonomic quantum computation
• Topological power pumping in quantum circuits
• The time-domain Landau-Zener-Stuckelberg-Majorana interference in optical lattice clock
• Classical analog of Stückelberg interferometry with two coupled mechanical resonators
• Elementary asymptotic approach to the Landau-Zener problem
• Complex time method for quantum dynamics when an exceptional point is encircled in the parameter space
• Tunable frequency conversion and comb generation with a superconducting artificial atom
• Higher order Magnus expansions for driven two-level quantum dynamics
• Observation of symmetry-protected selection rules in periodically driven quantum systems
• Graph-theoretical search for integrable multistate Landau-Zener models
• Competing Bosonic Reactions: Insight from Exactly Solvable Time-Dependent Models
• Efficient steady state entanglement generation in strongly driven coupled qubits
• Emergence of prethermal time quasicrystalline order in a quasiperiodically driven non-interacting spin chain
• Quantum dynamics of a spin model with an extensive degeneracy
• Spectroscopy of collective modes in a Bose-Einstein condensate: From single to double excitation periods
• Optical nanoscopy via quantum control
• Parity flipping mediated by a quantum dot in Majorana Josephson junctions
• XMCQDPT2-Fidelity Transfer-Learning Potentials and a Wavepacket Oscillation Model with Power-Law Decay for Ultrafast Photodynamics
• Spin qubit shuttling between coupled quantum dots with inhomogeneous Landé g-tensors
• Quantum states interrogation using a pre-shaped free electron wavefunction
• Robust applicability of continuous dynamical decoupling to decoherence reduction in longitudinal and transverse-noise settings: The role of anisotropy
• Landau-Zener transition with energy-dependent decay rate of the excited state
• Non-classical photon statistics in frequency-modulated double quantum dot cavity systems
• Effect of 1/f noise on the dissipative dynamics of an LC-shunted qubit