Results 21 to 30 of about 23,211 (263)
Non-standard construction of Hamiltonian structures [PDF]
Journal of Physics A: Mathematical and General, 1997 Examples of the construction of Hamiltonian structures for dynamical systems in field theory (including one reputedly non-Hamiltonian problem) without using Lagrangians, are presented. The recently developed method used requires the knowledge of one constant of the motion of the system under consideration and one solution of the symmetry equation.
Gomberoff, Andrés, Hojman, Sergio A.
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Entanglement entropy in quantum spin chains with broken parity number symmetry
SciPost Physics, 2022 Consider a generic quantum spin chain that can be mapped to free quadratic fermions via Jordan-Wigner (JW) transformation. In the presence of arbitrary boundary magnetic fields, this Hamiltonian is no longer a quadratic Hamiltonian after JW ...
Arash Jafarizadeh, M. A. Rajabpour
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Robust and Efficient Hamiltonian Learning [PDF]
Quantum, 2023 With the fast development of quantum technology, the sizes of both digital and analog quantum systems increase drastically. In order to have better control and understanding of the quantum hardware, an important task is to characterize the interaction, i.
Wenjun Yu +3 more
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Stability of Structured Hamiltonian Eigensolvers [PDF]
SIAM Journal on Matrix Analysis and Applications, 2001 This work concerns the stability of structured Hamiltonian eigensolvers. The structured backward errors are defined. By introducing the symplectic quasi-QR factorization, the structured backward errors can be efficiently computed. A detailed rounding error analysis of some Jacobi-like algorithms is also given.
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A Structural Observation on Port-Hamiltonian Systems
SIAM Journal on Control and Optimization, 2023 We study port-Hamiltonian systems on a familiy of intervals and characterise all boundary conditions leading to $m$-accretive realisations of the port-Hamiltonian operator and thus to generators of contractive semigroups. The proofs are based on a structural observation that the port-Hamiltonian operator can be transformed to the derivative on a ...
Picard, Rainer H. +3 more
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Hamiltonian structure of Hořava gravity
Physical Review D, 2011 8 pages, no figures. v2: added references, corrected minor typographical errors.
Donnelly, William, Jacobson, Ted
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Compilation by stochastic Hamiltonian sparsification [PDF]
Quantum, 2020 Simulation of quantum chemistry is expected to be a principal application of quantum computing. In quantum simulation, a complicated Hamiltonian describing the dynamics of a quantum system is decomposed into its constituent terms, where the effect of ...
Yingkai Ouyang +2 more
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Alternative structures and bi-Hamiltonian systems [PDF]
Journal of Physics A: Mathematical and General, 2002 In the study of bi-Hamiltonian systems (both classical and quantum) one starts with a given dynamics and looks for all alternative Hamiltonian descriptions it admits.In this paper we start with two compatible Hermitian structures (the quantum analog of two compatible classical Poisson brackets) and look for all the dynamical systems which turn out to ...
MARMO, GIUSEPPE +3 more
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Symmetry, Integrability and Geometry: Methods and Applications, 2011 We show that a recently introduced fifth-order bi-Hamiltonian equation with a differentially constrained arbitrary function by A. de Sole, V.G. Kac and M. Wakimoto is not a new one but a higher symmetry of a third-order equation.
Daryoush Talati, Refik Turhan
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The Lie Algebra Structure of Degenerate Hamiltonian and Bi-Hamiltonian Systems [PDF]
Progress of Theoretical Physics, 1982 Summary: A generalization of Noether's theorem is obtained via an extension of the well-known Poisson bracket formalism. It is shown that degenerate closed forms yield Lie algebra homomorphisms between vector fields and covector fields. A similar result holds for operators working in the opposite way. Application of these Lie algebra homomorphisms to a
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