Article
Physics, Multidisciplinary
Patrick P. Potts, Alex Arash Sand Kalaee, Andreas Wacker
Summary: Markovian master equations are a versatile tool for describing open quantum systems in the absence of memory effects. A new thermodynamically consistent Markovian master equation introduced in this study provides an accurate description by rescaling the Hamiltonian, ensuring a limited resolution for heat and enabling a consistent thermodynamic description of systems where the secular approximation breaks down.
NEW JOURNAL OF PHYSICS
(2021)
Article
Physics, Multidisciplinary
Alberto Barchielli
Summary: This article discusses the problem of constructing a consistent quantum-classical hybrid dynamics. By quantum-classical interaction, the classical component can be observed and information on the quantum component can be extracted. The study shows that suitable dissipation terms must be present in the generator to achieve a flow of information from the quantum component to the classical one.
Article
Engineering, Electrical & Electronic
Angelo Greco, Luca Fasolo, Vito Marino, Emanuele Enrico
Summary: In this paper, a novel Josephson Energy Suppression Pump (JESP) controlled by a fully magnetic flux drive is proposed. The device suppresses the Josephson energies by collapsing the Cooper condensates through the phase difference developed at the edges of the nanowires caused by the magnetic flux. The JESP greatly reduces leakage current during Cooper pair pumping without the need for gate modulation.
IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY
(2022)
Article
Physics, Applied
Anton Parafilo, Leonid Y. Gorelik, Hee Chul Park, Robert Shekhter
Summary: We investigate a nanoelectromechanical system composed of a carbon nanotube, a superconducting scanning tunneling microscope (STM) tip, and normal leads. It is found that the direction of applied voltage determines whether the mechanical subsystem pumps or cools, and this transition is controlled by the tunnel coupling strength between the nanotube and the superconducting STM tip, as well as the relative position of the electronic level.
JOURNAL OF LOW TEMPERATURE PHYSICS
(2023)
Article
Physics, Mathematical
Xiantao Li, Chunhao Wang
Summary: Non-Markovian open quantum systems are the most general dynamics when the quantum system is coupled with a bath environment. The dynamics arising from many important applications are non-Markovian. Although efficient quantum simulation algorithms have been extensively studied for special cases, such as Hamiltonian evolution and Lindblad evolution, there is still a lack of exploration in efficient quantum simulations for the dynamics of non-Markovian open quantum systems.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2023)
Article
Optics
Antonio D'Abbruzzo, Davide Rossini
Summary: This study presents a rigorous construction method for a wide class of quantum systems, including finite size quadratic models linearly coupled to an environment modeled by independent thermal baths. The effective Lindblad operators of nondegenerate systems under a full secular approximation are shown to be the normal modes of the system, with coupling constants depending on the transformation matrices that diagonalize the Hamiltonian.
Article
Quantum Science & Technology
Peter Groszkowski, Alireza Seif, Jens Koch, A. A. Clerk
Summary: We propose a systematic method based on generalized cumulant expansions to derive a time-local master equation for driven quantum systems subject to non-Markovian noise. The derived master equation has an intuitive form similar to the standard Lindblad equation but exhibits several surprising features, such as time-dependent dephasing rates that can be negative due to the combination of driving and non-Markovianity, and Hamiltonian renormalizations induced by classical noise. We analyze the case of a Rabi-driven qubit under different types of non-Markovian noise including $1/f$ fluctuations, and find excellent agreement between our master equation and numerically-exact simulations within relevant timescales. Our approach provides more accurate results than commonly used phenomenological master equations that neglect the interplay between driving and noise.
Article
Optics
Kai-Ting Chiang, Wei-Min Zhang
Summary: The experiments focus on the hybrid quantum system of a superconducting microwave cavity strongly coupled to an inhomogeneous broadening spin ensemble, using the exact master equation theory to study its non-Markovian decoherence dynamics under external driving fields. The theory generalizes the fluctuation-dissipation relation and describes in detail the transient non-Markovian decoherence, showing how the decoherence induced by the inhomogeneous broadening of the spin ensemble can be suppressed in the strong-coupling regime. This study also explores the relationships between quantum fluctuations and quantum memory through two-time correlations.
Article
Physics, Fluids & Plasmas
S. S. Melnyk, O. Usatenko, V. A. Yampol'skii
Summary: The study focuses on random processes with nonlocal memory and analyzes system dynamics based on local and nonlocal memory amplitudes. Two types of boundaries are identified, with diffusion with memory occurring on the first type, and noise-induced resonance observed on the second type. The phenomenon of noise-induced resonance is found to be caused by frequencies in the noise spectrum close to the system's self-frequency, resulting in resonance without an external periodic force.
Article
Automation & Control Systems
Boomipalagan Kaviarasan, Oh-Min Kwon, Myeong Jin Park, Rathinasamy Sakthivel
Summary: This article investigates a mode-dependent fault estimation method for Markovian jump systems, which can estimate unknown fault signals and unmeasurable states, and relaxes the observer matching condition. By transforming the actual system into an augmented system and establishing intermediate variables and observers, a new boundedness criterion is formulated. The theoretical results are validated using an example of the F-404 aircraft engine system, showing that the proposed method widens the delay interval compared to some existing works.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Automation & Control Systems
Te Yang, Zhen Wang, Xia Huang, Jianwei Xia, Guoliang Chen
Summary: This paper addresses the controller design problem for stochastic Markovian jump systems under aperiodic sampled-data control, presenting two different stability conditions and designing corresponding controllers. The effectiveness of the method is illustrated through the application of a practical aircraft model. It is shown that the mode-dependent two-sided loop-based Lyapunov functional can achieve a larger sampling interval upper bound compared to the mode-dependent one-sided loop-based Lyapunov functional.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Automation & Control Systems
Chan-eun Park, Nam Kyu Kwon, PooGyeon Park
Summary: This article proposes a new strictly bounded real lemma (BRL) for continuous-time singular Markovian jump systems (SMJSs) in terms of strict linear matrix inequalities (LMIs). Based on the proposed BRL, the sufficient condition for state-feedback stabilization is successfully obtained, leading to finding the minimal Script capital H-infinity performance by solving the optimization problem subject to the suggested LMIs. Two examples demonstrate the less conservatism of the proposed method compared with the previous work.
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
(2021)
Article
Automation & Control Systems
Wenhai Qi, Xianwen Gao, Choon Ki Ahn, Jinde Cao, Jun Cheng
Summary: The issue of sliding-mode control design for a class of nonlinear semi-Markovian switching systems via T-S fuzzy approach is studied. Novel integral sliding-mode surfaces and a fuzzy SMC law under complex stochastic semi-Markovian switching process are proposed. The theoretical findings are validated through an electric circuit model.
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
(2022)
Article
Automation & Control Systems
R. Baranitha, Reza Mohajerpoor, R. Rakkiyappan
Summary: This paper addresses the issue of communication time delays in a single-master multislave (SMMS) teleoperation system by designing a nonlinear robust controller that ensures global robust H-infinity stochastic stability. The system dynamics are decoupled into two interconnected subsystems using nonlinear feedback linearization technique, and stability analysis is conducted using an improved reciprocally convex combination technique. Numerical studies and simulation results validate the effectiveness of the proposed controller design algorithm in handling the stochastic and nondifferentiable nature of communication delays.
IEEE TRANSACTIONS ON CYBERNETICS
(2021)
Article
Physics, Multidisciplinary
Fei Liu
Summary: A tilted Liouville-master equation in Hilbert space is proposed for Markovian open quantum systems, serving as an unraveling of the tilted quantum master equation widely used in analyzing and calculating stochastic thermodynamic quantities in quantum stochastic thermodynamics.
COMMUNICATIONS IN THEORETICAL PHYSICS
(2021)
Article
Physics, Multidisciplinary
P. Schad, Yu. Makhlin, B. N. Narozhny, G. Schoen, A. Shnirman
Article
Physics, Multidisciplinary
J. E. Mooij, G. Schoen, A. Shnirman, T. Fuse, C. J. P. M. Harmans, H. Rotzinger, A. H. Verbruggen
NEW JOURNAL OF PHYSICS
(2015)
Article
Materials Science, Multidisciplinary
Nicolas Vogt, Roland Schaefer, Hannes Rotzinger, Wanyin Cui, Andreas Fiebig, Alexander Shnirman, Alexey V. Ustinov
Article
Physics, Multidisciplinary
A. Shnirman, A. Saha, I. S. Burmistrov, M. N. Kiselev, A. Altland, Y. Gefen
JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS
(2016)
Article
Physics, Multidisciplinary
N. Vogt, J. H. Cole, A. Shnirman
NEW JOURNAL OF PHYSICS
(2016)
Article
Physics, Multidisciplinary
Karin Cedergren, Roger Ackroyd, Sergey Kafanov, Nicolas Vogt, Alexander Shnirman, Timothy Duty
PHYSICAL REVIEW LETTERS
(2017)
Article
Multidisciplinary Sciences
Juergen Lisenfeld, Alexander Bilmes, Shlomi Matityahu, Sebastian Zanker, Michael Marthaler, Moshe Schechter, Gerd Schoen, Alexander Shnirman, Georg Weiss, Alexey V. Ustinov
SCIENTIFIC REPORTS
(2016)
Article
Materials Science, Multidisciplinary
M. Bard, I. V. Protopopov, I. V. Gornyi, A. Shnirman, A. D. Mirlin
Article
Materials Science, Multidisciplinary
Philip Wollfarth, Yasuhiro Utsumi, Alexander Shnirman
Article
Materials Science, Multidisciplinary
Shlomi Matityahu, Juergen Lisenfeld, Alexander Bilmes, Alexander Shnirman, Georg Weiss, Alexey V. Ustinov, Moshe Schechter
Article
Materials Science, Multidisciplinary
Dmitriy S. Shapiro, D. E. Feldman, Alexander D. Mirlin, Alexander Shnirman
Article
Materials Science, Multidisciplinary
Tim Ludwig, Igor S. Burmistrov, Yuval Gefen, Alexander Shnirman
Article
Materials Science, Multidisciplinary
Pablo Schad, Alexander Shnirman, Yuriy Makhlin
Article
Materials Science, Multidisciplinary
Shlomi Matityahu, Alexander Shnirman, Gerd Schoen, Moshe Schechter
Article
Materials Science, Multidisciplinary
Dmitriy S. Shapiro, Alexander Shnirman, Alexander D. Mirlin