Phase noise in the delta kicked rotor: from quantum to classical

Abstract

We experimentally investigate the effects of phase noise on the resonant and non-resonant dynamics of the atom-optics kicked rotor. Employing sinusoidal phase modulation at various frequencies, resonances are found corresponding to periodic phase shifts, resulting in the effective transformation of quantum antiresonances into resonances and vice-versa. The stability of the resonance is analysed, with the aid of experiments, ϵ-classical theory and numerical simulations, and is found to be surprisingly robust against phase noise. Finally we look into the effects of phase noise on dynamical localization and discuss the destruction of the localization in terms of decoherence.

ε-pseudoclassical model for quantum resonances in a cold dilute atomic gas periodically driven by finite-duration standing-wave laser pulses

“…For the case where the period T is set to a half integer multiple of the Talbot time a phenomenon known as antiresonance can also be observed, characterized by kick-to-kick motion where there is no net increase in p 2 over time, but instead p 2 alternates between two values [12,34,45,53].…”

Nonexponential Decoherence and Subdiffusion in Atom-Optics Kicked Rotor

“…The resulting dynamical localization (DL) is a phase coherent effect analogous to the Anderson localisation in disordered periodic latices [17][18][19] and was experimentally observed in one-[20], two-[21] and three-dimensions [22]. With its unambiguous and distinct signatures of energy growth in the classical and quantum regimes, AOKR is a suitable test-bed to study decoherence.In AOKR, DL can be destroyed by inducing decoherence through (i) spontaneous emission of the atoms [10,23], or (ii) addition of noise in the amplitude of the kicks [11] or in the periodicity of the kick [24] or in the phase of the periodic kicks [25]. In contrast to these approaches, we induce decoherence by suppressing kicks entirely at certain time instants dictated by the value of waiting time τ between successive kicks drawn from Lévy distribution w(τ ) = αΓ(τ )Γ(α + 1)/Γ(τ + α + 1), where α is the Lévy exponent [14].…”

Simulating Floquet topological phases in static systems

“…All topological properties are lost in the long time limit as the system evolves towards a uniform, featureless steady state. The problem of decoherence due to driving noise has been recognized both theoretically and experimentally, starting from early measurements of the quantum kicked rotor in the 90s [89,90], and an active research field has emerged from studying and attempting to mitigate this effect [26,27,[91][92][93][94][95][96][97][98][99][100][101][102][103][104]. In our work, we have found a way of eliminating this effect completely: driving noise cannot lead to decoherence if unitary topological phases are realized without any driving.…”