Nonlinear Non-Hermitian Landau-Zener-Stückelberg-Majorana interferometry
arXiv:2301.00734 · doi:10.1088/1367-2630/accca3
Abstract
In this work, we have studied the non-Hermitian nonlinear LZSM interferometry in a non-Hermitian N-body interacting boson system in which the non-Hermicity is from the nonreciprocal tunnelings between the bosons. By using the mean-field approximation and projective Hilbert space, the effect of nonreciprocity and nonlinearity on the energy spectrum, the dynamics, and the formation of the interference fringes have been studied. The different symmetries and the impact of the two different types of reciprocity, i.e. the in-phase tunneling and anti-phase tunneling, on the energy spectrum and the phase transition between the Josephson oscillation and the self-trapping have been investigated. For the LZSM interferometry, the strength of the nonreciprocity is found to take an essential role in the population of the projective state and the strengths of the interference patterns in the projective space. While the conditions of destructive and constructive interference under the weak-coupling approximation still only depend on the strength of nonlinearity. Our result provides an application of the nonlinear non-Hermitian LZSM interferometry in studying the parameters of a non-Hermitian nonlinear two-level system which related to the nonlinearity and the non-Hermicity.
arXiv comment11 pages, 12 figures, and comments are welcome
References in corpus (62)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Edge states and topological invariants of non-Hermitian systems
- Non-Hermitian Physics
- Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
- Pseudo-Hermiticity versus PT-Symmetry II: A complete characterizatio n of non-Hermitian Hamiltonians with a real spectrum
- Anatomy of skin modes and topology in non-Hermitian systems
- Landau-Zener-Stuckelberg interferometry
- Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
- Pseudo-Hermiticity versus PT-Symmetry III: Equivalence of pseudo-Her miticity and the presence of antilinear symmetries
- Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
- Bloch oscillations and mean-field effects of Bose-Einstein condensates in 1-D optical lattices
- Quantum Superposition States of Bose-Einstein Condensates
- Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps
- Observation of parity-time symmetry breaking in a single spin system
- Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-Hermitian systems
- Topology-Induced Spontaneous Non-reciprocal Pumping in Cold-Atom Systems with Loss
- Theory of nonlinear Landau-Zener tunneling
- Supersymmetry and the spontaneous breakdown of PT symmetry
- Extension of PT-Symmetric Quantum Mechanics to Quantum Field Theory with Cubic Interaction
- Pseudo-Hermiticity and Generalized PT- and CPT-Symmetries
- Simultaneous Observation of Topological Edge State and Exceptional Point in an Open and Non-Hermitian System
- Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
- Experimental properties of Bose-Einstein condensates in 1D optical lattices: Bloch oscillations, Landau-Zener tunneling and mean-field effects
- Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
- Pseudo-Supersymmetric Quantum Mechanics and Isospectral Pseudo-Hermi tian Hamiltonians
- Perspective on topological states of non-Hermitian lattices
- Solutions of PT symmetric tight-binding chain and its equivalent Hermitian counterpart
- Scalar Quantum Field Theory with Cubic Interaction
- Many-body Landau-Zener dynamics in coupled 1D Bose liquids
- Solution of Schwinger-Dyson Equations for -Symmetric Quantum Field Theory
- Pseudo-Hermiticity for a Class of Nondiagonalizable Hamiltonians
- Adiabaticity condition for non-Hermitian Hamiltonians
- Characterization of Qubit Dephasing by Landau-Zener Interferometry
- Model of supersymmetric quantum field theory with broken parity symmetry
- `Stückelberg interferometry' with ultracold molecules
- Pseudo-Unitary Operators and Pseudo-Unitary Quantum Dynamics
- Oscillatory decay of a two-component Bose-Einstein condensate
- Rosen-Zener Transition in a Nonlinear Two-Level System
- Higher-order exceptional point in a pseudo-Hermitian cavity optomechanical system
- Two-mode Bose-Einstein condensate in a high-frequency driving field that directly couples the two modes
- Observation of Stueckelberg oscillations in dipole-dipole interactions
- Nonlinear Ramsey interferometry with the Rosen-Zener pulses on a two-component Bose-Einstein condensate
- Effect of Decoherence on the Dynamics of Bose-Einstein Condensates in a Double-well Potential
- Inverse Landau-Zener-Stuckelberg problem for qubit-resonator systems
- A Physical Realization of the Generalized PT-, C-, and CPT-Symmetries and the Position Operator for Klein-Gordon Fields
- Ordinary versus PT-symmetric quantum field theory
- Bound States of Non-Hermitian Quantum Field Theories
- Interlayer Aharonov-Bohm interference in tilted magnetic fields in quasi-one-dimensional layered conductors
- Majorana's approach to nonadiabatic transitions validates the adiabatic-impulse approximation
- Hermitian scattering behavior for the non-Hermitian scattering center
- A physical interpretation for the non-Hermitian Hamiltonian
- Landau-Zener-Stückelberg Interferometry in -symmetric Non-Hermitian models
- Adiabaticity in nonreciprocal Landau-Zener tunneling
- Non-adiabatic transitions through exceptional points in the band structure of a PT-symmetric lattice
- Higher-order exceptional point in a blue-detuned non-Hermitian cavity optomechanical system
- Quantum dynamics of a nanomagnet in a rotating field
- Rosen-Zener interferometry with Ultracold Atoms
- Chiral Bosons in Noncommutative Spacetime
- Dynamics of molecular nanomagnets in time-dependent external magnetic fields: Beyond the Landau-Zener-Stückelberg model
- Nonlinear Landau-Zener-Stückelberg-Majorana problem
- Angular magnetoresistance oscillations in quasi-one-dimensional organic conductors in the presence of a crystal superstructure