Quantum decay in a topological continuum

  title={Quantum decay in a topological continuum},
  author={Stefano Longhi},
  journal={Physical Review A},
  • S. Longhi
  • Published 9 August 2019
  • Physics
  • Physical Review A
The quantum mechanical decay of two or more overlapped resonances in a common continuum is largely influenced by Fano interference, leading to important phenomena such as the existence of bound states in the continuum, fractional decay and quiescent dynamics for single particle decay, and signature of particle statistics in the many-body quantum decay. An overlooked yet essential requirement to observe Fano interference is time reversal symmetry of the bath. Here we consider multilevel quantum… 

Figures from this paper

Chiral excitation and effective bandwidth enhancement in tilted waveguide lattices.

Light escape from an optical waveguide side-coupled to a waveguide lattice provides a photonic analogue of the spontaneous emission process of an excited two-level atom in a one-dimensional array of

Dispersive bands of bound states in the continuum

Abstract Bound states in the continuum (BICs), i.e. highly-localized modes with energy embedded in the continuum of radiating waves, have provided in the past decade a new paradigm in optics and

Light-Matter Interactions in Synthetic Magnetic Fields: Landau-Photon Polaritons.

The peculiar dynamical and spectral properties of these quasiparticles can be probed with state-of-the-art photonic lattices in the optical and the microwave domain and may find various applications for the quantum simulation of strongly interacting topological models.

Photonic band structure design using persistent homology

The machine learning technique of persistent homology classifies complex systems or datasets by computing their topological features over a range of characteristic scales. There is growing interest

Non-Hermitian gauged topological laser with multi protected modes

A topological laser array based on the non-Hermitian Su-Schrieffer-Heeger chain of coupled microring resonators has been presented in this manuscript. Based on the theory of the active and passive

Topological Protection and Control of Quantum Markovianity

Under the Born–Markov approximation, a qubit system, such as a two-level atom, is known to undergo a memoryless decay of quantum coherence or excitation when weakly coupled to a featureless



Particle statistics affects quantum decay and Fano interference.

It is experimentally demonstrated that particle statistics strongly affects quantum mechanical decay in a multiparticle system and can tune many-body quantum decay from fractional to complete.

Long-time behavior of many-particle quantum decay

While exponential decay is ubiquitous in nature, deviations at both short and long times are dictated by quantum mechanics. Nonexponential decay is known to arise due to the possibility of

Floquet bound states in the continuum

A new kind of BIC is introduced, referred to as Floquet BIC, which corresponds to a normalizable Floquet state of a time-periodic Hamiltonian with a quasienergy embedded into the spectrum of Floquet scattered states.

Acceleration of quantum decay processes by frequent observations

It is shown that the quantum Zeno effect is fundamentally unattainable in radiative or radioactive decay (because the required measurement rates would cause the system to disintegrate), but also that these processes may be accelerated by frequent measurements.

Optical lattices with exceptional points in the continuum

The spectral, dynamical, and topological properties of physical systems described by non-Hermitian (including $\mathcal{PT}$-symmetric) Hamiltonians are deeply modified by the appearance of

Fidelity of fermionic-atom number states subjected to tunneling decay

Atom-number states are a valuable resource for ultracold chemistry, atom interferometry and quantum information processing. Recent experiments have achieved their deterministic preparation in trapped

Experimental evidence for non-exponential decay in quantum tunnelling

An exponential decay law is the universal hallmark of unstable systems and is observed in all fields of science. This law is not, however, fully consistent with quantum mechanics and deviations from

Topological Characterization of Periodically-Driven Quantum Systems

Topological properties of physical systems can lead to robust behaviors that are insensitive to microscopic details. Such topologically robust phenomena are not limited to static systems but can also

Bound states in the continuum

Bound states in the continuum (BICs) are waves that remain localized even though they coexist with a continuous spectrum of radiating waves that can carry energy away. Their very existence defies