Results 11 to 20 of about 587,938 (239)
Real Hamiltonian forms of Hamiltonian systems [PDF]
We introduce the notion of a real form of a Hamiltonian dynamical system in analogy with the notion of real forms for simple Lie algebras. This is done by restricting the complexified initial dynamical system to the fixed point set of a given involution. The resulting subspace is isomorphic (but not symplectomorphic) to the initial phase space. Thus to
G. MARMO +3 more
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16 pages, REVTeX 4 (minor corrections in v2)
A. M. Childs +5 more
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Hamiltonian purification [PDF]
The problem of Hamiltonian purification introduced by Burgarth et al. [Nat. Commun. 5, 5173 (2014)] is formalized and discussed. Specifically, given a set of non-commuting Hamiltonians {h1, …, hm} operating on a d-dimensional quantum system ℋd, the problem consists in identifying a set of commuting Hamiltonians {H1, …, Hm} operating on a larger dE ...
Davide Orsucci +6 more
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Hamiltonian Thermodynamics [PDF]
It is believed that thermodynamic laws are associated with random processes occurring in the system and, therefore, deterministic mechanical systems cannot be described within the framework of the thermodynamic approach. In this paper, we show that thermodynamics (or, more precisely, a thermodynamically-like description) can be constructed even for ...
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Universal quantum Hamiltonians [PDF]
Significance Quantum many-body systems exhibit a bewilderingly diverse range of behavior, which forms the central object of study in many areas of physics and beyond. Our work reveals that, in fact, the entire physics of every other quantum many-body system is replicated in certain simple, universal quantum spin-lattice models.
Toby S. Cubitt +2 more
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More detailed description of the numerical implementation added and some typos corrected. Version accepted for publication in Class.
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Hamiltonian structure of Hamiltonian chaos [PDF]
From a kinematical point of view, the geometrical information of hamiltonian chaos is given by the (un)stable directions, while the dynamical information is given by the Lyapunov exponents. The finite time Lyapunov exponents are of particular importance in physics.
Tang, X. Z., Boozer, A. H.
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Effective Hamiltonians and Counterterms for Hamiltonian Truncation
Abstract We outline a procedure for applying Hamiltonian Truncation to Quantum Field Theories (QFTs) that have UV divergences. To do this, we derive a novel representation of an Effective Hamiltonian which makes manifest some of its important properties (e.g.
Miró, Joan, Ingoldby, James
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To solve the contradiction between dynamic performance and steady-state performance of the robot system, a smooth-switching control strategy is proposed.
Anxing Liu, Haisheng Yu
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