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This paper proposes a novel nonlinear sliding mode state feedback controller for perturbed second-order systems. In analogy to a linear proportional-derivative (PD) feedback control, the proposed nonlinear scheme uses the output of interest…

Optimization and Control · Mathematics 2025-03-25 Michael Ruderman , Denis Efimov

In this study, we address the challenge of controlling quantum systems under environmental influences using the theory of dynamical invariants. We employ a reverse engineering approach to develop control protocols designed to be robust…

Quantum Physics · Physics 2024-08-20 Loris Maria Cangemi , Hilario Espinós , Ricardo Puebla , Erik Torrontegui , Amikam Levy

Dissipative many-body quantum dynamics can feature strong symmetries which give rise to conserved quantities. We discuss here how a strong symmetry in conjunction with a nonequilibrium phase transition allows to devise a protocol for…

Quantum Physics · Physics 2025-01-22 Albert Cabot , Federico Carollo , Igor Lesanovsky

We investigate a stochastic approach to non-equilibrium quantum spin systems based on recent insights linking quantum and classical dynamics. Exploiting a sequence of exact transformations, quantum expectation values can be recast as…

Statistical Mechanics · Physics 2019-01-31 S. De Nicola , B. Doyon , M. J. Bhaseen

High-precision measurements are crucial for testing the fundamental laws of nature and for advancing the technological frontier. Clock interferometry, where particles with an internal clock are coherently split and recombined along two…

Interferometry, as the key technique in modern precision measurements, has been used for length diagnosis in the fields of engineering metrology and astronomy. Analogous interferometric technique for time domain precision measurement is a…

Optics · Physics 2019-11-15 Zhen Yang , Wei Cao , Yunlong Mo , Huiyao Xu , Kang Mi , Pengfei Lan , Qingbin Zhang , Peixiang Lu

Quantum coherence remains a fundamental challenge for advancing quantum technologies. Although dynamical decoupling can suppress decoherence noise, it frequently misestimates decoherence times due to control errors -- a previously…

Quantum Physics · Physics 2026-02-17 Weibin Ni , Zhijie Li , Guanyu Qu , Asif Equbal , Zhecheng Sun , Jiale Dai , Fazhan Shi , Lei Sun

Atom interferometers provide exquisite measurements of the properties of non-inertial frames. While atomic interactions are typically detrimental to good sensing, efforts to harness entanglement to improve sensitivity remain tantalizing.…

Quantum Gases · Physics 2016-11-15 Stephen Ragole , Jacob M. Taylor

Originally conceived as a gedankenexperiment, an apparatus consisting of two Stern--Gerlach apparatuses joined in an inverted manner touched on the fundamental question of the reversibility of evolution in quantum mechanics. Theoretical…

Quantum Physics · Physics 2021-07-02 Mikołaj M. Paraniak , Berthold-Georg Englert

The conditions under which stochastic systems of infinitely many interacting particles can maintain sufficient spatial order to move coherently along a time-periodic orbit, thereby breaking the time-translation invariance of the underlying…

Probability · Mathematics 2026-02-26 Jonas Köppl

Methods that are devised to achieve reversal of quantum dynamics in time have been named "quatum time mirrors". Such a time mirror can be considered as a generalization of Hahn's spin echo to systems with continuous degrees of freedom. We…

Mesoscale and Nanoscale Physics · Physics 2018-10-03 Phillipp Reck , Cosimo Gorini , Klaus Richter

Gyroscope for rotation sensing plays a key role in inertial navigation systems. Developing more precise gyroscopes than the conventional ones bounded by classical shot-noise limit by using quantum resources has attracted much attention.…

Quantum Physics · Physics 2023-01-26 Lin Jiao , Jun-Hong An

Nonlinear phononics has emerged as a powerful paradigm for the nonthermal control of quantum materials by engineering a conservative potential energy landscape. Here, we show that dissipation can serve as an additional control knob for…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Brayan I. Eraso-Solarte , Yafei Ren

We discuss the short-time perturbative expansion of the linear entropy for finite-dimensional quantum systems whose dynamics can be effectively described by a non-Hermitian Hamiltonian. We derive a timescale for the degree of mixedness for…

Quantum Physics · Physics 2023-02-07 Diego Paiva Pires , Tommaso Macrì

For the unicycle system, we provide constructive methods for the design of feedback laws that have one or more of the following properties: being nonmodular and globally exponentially stabilizing, inverse optimal, robust to arbitrary…

Systems and Control · Electrical Eng. & Systems 2025-12-25 Kwang Hak Kim , Velimir Todorovski , Miroslav Krstić

Nonlinear optical processes associated with even-order nonlinear susceptibilities are critical for both classical and quantum technologies. Inversion symmetry, however, prevents nonlinear optical responses mediated by even-order…

Optics · Physics 2022-02-24 Davis M. Welakuh , Prineha Narang

Linearising the dynamics of nonlinear mechanical systems is an important and open research area. A common approach is feedback linearisation, which is a nonlinear control method that transforms the input-output response of a nonlinear…

Systems and Control · Electrical Eng. & Systems 2025-02-05 Merijn Floren , Koen Classens , Tom Oomen , Jean-Philippe Noël

The NOT operation is a reversible transformation acting on a 1-bit logical state, and should be achievable in a physically reversible manner at no energetic cost. We experimentally demonstrate a bit-flip protocol based on the momentum of an…

Statistical Mechanics · Physics 2023-11-01 Salambô Dago , Ludovic Bellon

This paper investigates the dynamics of quantum analogs of classical impact oscillators to explore how complex nonlinear behaviors manifest in quantum systems. While classical impact oscillators exhibit chaos and bifurcations, quantum…

Quantum Physics · Physics 2025-09-17 Arnab Acharya , Titir Mukherjee , Deepshikha Singh , Soumitro Banerjee

Interference provides a fundamental mechanism for generating and manipulating entanglement in many-body quantum systems. Here, we develop an interference framework in which the nonlinear dynamics of collective spin-$\tfrac{1}{2}$ ensembles…

Quantum Physics · Physics 2026-03-25 Le Bin Ho , Vu Xuan Tung Duong , Nozomu Takahashi , Hiroaki Matsueda
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