Non-Markovian dynamics revealed at the bound state in continuum

Abstract

We propose a methodical approach to controlling and enhancing deviations from exponential decay in quantum and optical systems by exploiting recent progress surrounding another subtle effect: the bound states in continuum, which have been observed in optical waveguide array experiments within this past decade. Specifically, we show that by populating an initial state orthogonal to that of the bound state in continuum, it is possible to engineer system parameters for which the usual exponential decay process is suppressed in favor of inverse power law dynamics and coherent effects that typically would be extremely difficult to detect in experiment. We demonstrate our method using a model based on an optical waveguide array experiment, and further show that the method is robust even in the face of significant detuning from the precise location of the bound state in continuum.

References in corpus (32)

• Resonantly Trapped Bound State in the Continuum Laser
• Topological nature of bound states in the radiation continuum
• Observation of the Quantum Zeno and Anti-Zeno effects in an unstable system
• Universal dynamical control of quantum mechanical decay: Modulation of the coupling to the continuum
• Compact surface Fano states embedded in the continuum of waveguide arrays
• Non-exponential decay via tunneling in tight-binding lattices and the optical Zeno effect
• Spontaneous Emission in a Matter-Wave Open Quantum System
• Observation of surface states with algebraic localization
• Quantum Emitters in Two-dimensional Structured Reservoirs in the Non-Perturbative Regime
• Bound states in the continuum in a single-level Fano-Anderson model
• Bound States in the Continuum Realized in the One-Dimensional Two-Particle Hubbard Model with an Impurity
• Dynamical signatures of bound states in waveguide QED
• Bound states in continuum in an electron waveguide
• Quantum Anti-Zeno Effect
• Zeno and anti-Zeno polarization control of spin-ensembles by induced dephasing
• Quasi-bound states in continuum
• Dynamical regimes of a quantum swap gate beyond the Fermi Golden Rule
• Complex Energy Spectrum and Time Evolution of QBIC States in a Two-Channel Quantum wire with an Adatom Impurity
• Nonexponential decay of an unstable quantum system: Small-$Q$-value s-wave decay
• Amplification of non-Markovian decay due to bound state absorption into continuum
• Time-reversal symmetric resolution of unity without background integrals in open quantum systems
• Full time nonexponential decay in double-barrier quantum structures
• The role of initial state reconstruction in short and long time deviations from exponential decay
• Power law tails and non Markovian dynamics in open quantum systems: An exact solution from Keldysh field theory
• The arrow of time in open quantum systems and dynamical breaking of the resonance-antiresonance symmetry
• Characteristic dynamics near two coalescing eigenvalues incorporating continuum threshold effects
• Comment on ``Resonant Spectra and the Time Evolution of the Survival and Nonescape Probabilities''
• Tunable Bound States in Continuum by Optical Frequency
• A new perspective on the Fano absorption spectrum in terms of complex spectral analysis
• Quantum coherence and entanglement induced by the continuum between distant localized states
• Quantum transfer through a non-Markovian environment under frequent measurements and Zeno effect
• Resonance width oscillation in the bi-ripple ballistic electron waveguide

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• Non-Markovian dynamics with a driven three-level giant atom in a semi-infinite photonic waveguide
• Bound states in the continuum in a two-channel Fano-Anderson model
• Excepional Points from Hamiltonians of hybrid physical systems: Squeezing and anti-Squeezing
• Coherent Control of Collective Spontaneous Emission through Self-interference
• Coherent single-spin electron resonance spectroscopy manifested at an exceptional-point singularity in a doped polyacetylene
• Current-induced forces in single-resonance systems
• Exact time-evolving scattering states in open quantum-dot systems with an interaction: Discovery of time-evolving resonant states
• Enhanced classical radiation damping of electronic cyclotron motion in the vicinity of the Van Hove singularity in a waveguide
• Bound states and decay dynamics in $N$-level Friedrichs model with factorizable interactions
• Characteristic influence of exceptional points in quantum dynamics
• Swanson Hamiltonian: non-PT-symmetry phase
• Weak-coupling bound states in semi-infinite topological waveguide QED