Results 1 to 10 of about 129,206 (165)
Shortcuts to adiabaticity assisted by counterdiabatic Born–Oppenheimer dynamics [PDF]
New Journal of Physics, 2018 Shortcuts to adiabaticity (STA) provide control protocols to guide the dynamics of a quantum system through an adiabatic reference trajectory in an arbitrary prescheduled time. Designing STA proves challenging in complex quantum systems when the dynamics
Callum W Duncan, Adolfo del Campo
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NORMALIZATION OF CLASSICAL HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM [PDF]
Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2020 The family of the Hamiltonian systems with two degrees of freedom was investigated. The calculations of the Poincaré sections show that with arbitrary values of the parameters of the Hamilton function, the system is non-integrable and dynamic chaos is ...
I.N. Belyaeva +4 more
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Asymptotic Stabilizability of Underactuated Hamiltonian Systems With Two Degrees of Freedom [PDF]
Nelineinaya Dinamika, 2019 For an underactuated (simple) Hamiltonian system with two degrees of freedom and one degree of underactuation, a rather general condition that ensures its stabilizability, by means of the existence of a (simple) Lyapunov function, was found in a recent ...
Grillo, Sergio +2 more
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Superfast encodings for fermionic quantum simulation
Physical Review Research, 2019 Simulation of fermionic many-body systems on a quantum computer requires a suitable encoding of fermionic degrees of freedom into qubits. Here we revisit the superfast encoding introduced by Kitaev and one of the authors.
Kanav Setia +3 more
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Bifurcation Diagram of the Model of a Lagrange Top with a Vibrating Suspension Point
Mathematics, 2023 The article considers a model system that describes a dynamically symmetric rigid body in the Lagrange case with a suspension point that performs high-frequency oscillations. This system, reduced to axes rigidly connected to the body, after the averaging
Pavel E. Ryabov, Sergei V. Sokolov
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Survey of Eight Modern Methods of Hamiltonian Mechanics
Axioms, 2021 Here we describe eight new methods, arisen in the last 60 years, to study solutions of a Hamiltonian system with n degrees of freedom. The first six of them are intended for systems with small parameters or without them.
Alexander D. Bruno, Alexander B. Batkhin
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On the integrable deformations of a system related to the motion of two vortices in an ideal incompressible fluid [PDF]
ITM Web of Conferences, 2019 Altering the first integrals of an integrable system integrable deformations of the given system are obtained. These integrable deformations are also integrable systems, and they generalize the initial system.
Lăzureanu Cristian +2 more
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Universe, 2022 The Dirac–Bergmann algorithm is a recipe for converting a theory with a singular Lagrangian into a constrained Hamiltonian system. Constrained Hamiltonian systems include gauge theories—general relativity, electromagnetism, Yang–Mills, string theory, etc.
J. David Brown
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“Quantization” of an isomonodromic Hamiltonian Garnier system with two degrees of freedom [PDF]
Theoretical and Mathematical Physics, 2016 We construct solutions of analogues of the nonstationary Schr dinger equation corresponding to the polynomial isomonodromic Hamiltonian Garnier system with two degrees of freedom. This solutions are obtained from solutions of systems of linear ordinary differential equations whose compatibility condition is the Garnier system.
Novikov, D. P., Suleimanov, B. I.
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Aperiodic spin chains at the boundary of hyperbolic tilings
SciPost Physics, 2023 In view of making progress towards establishing a holographic duality for theories defined on a discrete tiling of the hyperbolic plane, we consider a recently proposed boundary spin chain Hamiltonian with aperiodic couplings that are chosen such as to ...
Pablo Basteiro, Rathindra Nath Das, Giuseppe Di Giulio, Johanna Erdmenger
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