Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Conference on Lasers and Electro-Optics

Echoes in a Single Quantum Kerr-nonlinear Oscillatora

Ilia Tutunnikov, K. V. Rajitha, Ilya Sh. Averbukh

Published Jan 1, 2021• 0 citations
Publisher

Abstract

We theoretically study the echo phenomenon in a single impulsively excited (“kicked”) Kerr-nonlinear oscillator. These echoes may be useful for studying decoherence processes in a number of systems related to quantum information processing.
DOI
10.1364/cleo_at.2021.jtu3a.36

Related papers

Echoes in a single quantum Kerr-nonlinear oscillator

Ilia Tutunnikov, K. V. Rajitha, Ilya Sh. Averbukh

A quantum Kerr-nonlinear oscillator is a paradigmatic model in cavity and circuit quantum electrodynamics, and quantum optomechanics. We theoretically study the echo phenomenon in a single impulsively excited (``kicked'') Kerr-nonlinear oscillator. We reveal two types of echoes, ``quantum'' and ``classical'' ones, emerging on the long and short time scales, respectively. The mechanisms of the echoes are discussed, and their sensitivity to dissipation is considered. These echoes may be useful for studying decoherence processes in a number of systems related to quantum information processing.

arXiv:2009.01603•Physical Review A•Jan 13, 2021•6 citations

Echoes in a parametrically perturbed Kerr-nonlinear oscillator

Yun-Wen Mao, Ilia Tutunnikov, Roman V. Krems +1 more

We study classical and quantum echoes in a Kerr oscillator driven by a frequency-controlling pulsed perturbation. We consider dynamical response to the perturbation for a single coherent state and for Schrödinger cat states constructed as both balanced and imbalanced superpositions of two coherent states. For individual coherent states, we demonstrate that a weak parametric drive yields a long-lived sequence of classical echoes. Cat states are found to exhibit distinct quantum echoes that are sensitive to the initial relative phase and weights of the coherent states in superposition. We examine the effect of dissipation on quantum echoes and quantum revivals of cat states. We demonstrate that, even when dissipation suppresses quantum revivals, quantum echoes can be recovered by properly tuning the timing and strength of the perturbation. These results may be useful for characterizing and mitigating errors of cat qubits.

arXiv:2507.09521•Physical Review A•Sep 16, 2025•1 citation

An experimental realization of the quantum -kicked rotor

Mark G. Raizen, F L Moore, J C Robinson +2 more

We study experimentally quantum effects in atomic motion for a classically chaotic regime. A standing wave is pulsed on periodically in time, and the resulting atomic momentum is measured. Momentum grows diffusively until the quantum break time, after which dynamical localization is observed. Quantum resonances are observed for certain pulse durations.

Quantum and Semiclassical Optics Journal of the European Optical Society Part B•Jun 1, 1996•12 citations

Theoretical Analysis of Photonic Resonances in Spectroscopic Measurements of a Kerr Nonlinear Resonator

Yuki Tanaka, Aiko Yamaguchi, Tomohiro Yamaji +4 more

The Kerr parametric oscillator (KPO) has recently attracted considerable attention from the perspective of its applications to quantum information processing, and understanding its properties is an important challenge. Spectroscopic measurements serve as an effective means of elucidating detailed information about the system, such as the energy-level structure and the transition matrix elements of the KPO. Conventional spectroscopy requires the drive frequency to match an energy spacing with a nonzero transition matrix element. In recent years, a phenomenon called photonic resonance (PR) has been theoretically predicted in KPO spectroscopy. Specifically, resonance occurs under the condition that the detuning is set to $n/2$ times the Kerr nonlinearity, where $n$ is a natural number. However, under this condition the transition matrix element vanishes, and thus the mechanism by which photonic resonance (PR) arises has remained unclear. In this work, we aim to elucidate the physical origin of PR observed in KPO spectroscopy. We first performed theoretical calculations and experiments of spectroscopic measurements, confirming that PR can indeed be observed and that the theoretical and experimental results are in qualitative agreement. We then carried out an analytical study under the assumption of an ideal noiseless environment. Our analysis revealed that, although the transition matrix element of the external field expressed in the system's energy eigenbasis is zero, higher-order perturbative effects induce Rabi oscillations between the ground and excited states. Furthermore, numerical simulations in a time domain including the effect of decoherence demonstrated that coherent oscillations decay, leading to the appearance of PR.

quant-pharXiv:2511.17197•Japanese Journal of Applied Physics•Nov 24, 2025•0 citations

Quantum Mechanics, Chaos and the Bohm Theory

Malik, Z., Christopher Dewdney

The quantum counterpart of the classically chaotic kicked rotor is investigated using Bohm's appraoch to quantum theory.

arXiv:quant-ph/9506026•Jun 15, 1995•2 citations

Classical Decoherence Modeling of Mixed Polarization States in Birefringent Nonlinear Single-Mode Fibers

N. Lozano-Crisóstomo, M. A. González-Galicia, J. C. García-Melgarejo +1 more

In a recent study, N. Matsuda et al. [1] experimentally demonstrated the optical Kerr effect at the single photon level in optical fibers. This achievement strongly supports the feasibility of implementing optical quantum information processing (OQIP) based on the Kerr nonlinearity in optical fibers. Nevertheless, decoherence introduces significant techno logical limitations to the realization of OQIP in such systems. Consequently, a comprehensive understanding of decoherence is essential to develop practical mitigation strategies. In the present work, we examine the loss of phase coherence, called classical decoherence, through a two-step process applied within each segment of a concatenated birefringent nonlinear single-mode optical fibers (BNLOFs). This investigation serves as a preliminary step toward establishing the foundational knowledge required for addressing quantum decoherence in BNLOFs. An analytical model describing classical decoherence of mixed polarization states in BNLOFs is developed, providing a classical analogue to the quantum decoherence phenomenon.

Journal of Lightwave Technology•Mar 16, 2026•0 citations
A quantum Kerr-nonlinear oscillator is a paradigmatic model in cavity and circuit quantum electrodynamics, and quantum optomechanics. We theoretically study the echo phenomenon in a single impulsively excited (``kicked'') Kerr-nonlinear oscillator. We reveal two types of echoes, ``quantum'' and ``classical'' ones, emerging on the long and short time scales, respectively. The mechanisms of the echoes are discussed, and their sensitivity to dissipation is considered. These echoes may be useful for studying decoherence processes in a number of systems related to quantum information processing.
We study classical and quantum echoes in a Kerr oscillator driven by a frequency-controlling pulsed perturbation. We consider dynamical response to the perturbation for a single coherent state and for Schrödinger cat states constructed as both balanced and imbalanced superpositions of two coherent states. For individual coherent states, we demonstrate that a weak parametric drive yields a long-lived sequence of classical echoes. Cat states are found to exhibit distinct quantum echoes that are sensitive to the initial relative phase and weights of the coherent states in superposition. We examine the effect of dissipation on quantum echoes and quantum revivals of cat states. We demonstrate that, even when dissipation suppresses quantum revivals, quantum echoes can be recovered by properly tuning the timing and strength of the perturbation. These results may be useful for characterizing and mitigating errors of cat qubits.
The Kerr parametric oscillator (KPO) has recently attracted considerable attention from the perspective of its applications to quantum information processing, and understanding its properties is an important challenge. Spectroscopic measurements serve as an effective means of elucidating detailed information about the system, such as the energy-level structure and the transition matrix elements of the KPO. Conventional spectroscopy requires the drive frequency to match an energy spacing with a nonzero transition matrix element. In recent years, a phenomenon called photonic resonance (PR) has been theoretically predicted in KPO spectroscopy. Specifically, resonance occurs under the condition that the detuning is set to n/2n/2n/2 times the Kerr nonlinearity, where nnn is a natural number. However, under this condition the transition matrix element vanishes, and thus the mechanism by which photonic resonance (PR) arises has remained unclear. In this work, we aim to elucidate the physical origin of PR observed in KPO spectroscopy. We first performed theoretical calculations and experiments of spectroscopic measurements, confirming that PR can indeed be observed and that the theoretical and experimental results are in qualitative agreement. We then carried out an analytical study under the assumption of an ideal noiseless environment. Our analysis revealed that, although the transition matrix element of the external field expressed in the system's energy eigenbasis is zero, higher-order perturbative effects induce Rabi oscillations between the ground and excited states. Furthermore, numerical simulations in a time domain including the effect of decoherence demonstrated that coherent oscillations decay, leading to the appearance of PR.
In a recent study, N. Matsuda et al. [1] experimentally demonstrated the optical Kerr effect at the single photon level in optical fibers. This achievement strongly supports the feasibility of implementing optical quantum information processing (OQIP) based on the Kerr nonlinearity in optical fibers. Nevertheless, decoherence introduces significant techno logical limitations to the realization of OQIP in such systems. Consequently, a comprehensive understanding of decoherence is essential to develop practical mitigation strategies. In the present work, we examine the loss of phase coherence, called classical decoherence, through a two-step process applied within each segment of a concatenated birefringent nonlinear single-mode optical fibers (BNLOFs). This investigation serves as a preliminary step toward establishing the foundational knowledge required for addressing quantum decoherence in BNLOFs. An analytical model describing classical decoherence of mixed polarization states in BNLOFs is developed, providing a classical analogue to the quantum decoherence phenomenon.