Hamiltonian quantum simulation with bounded-strength controls
We propose dynamical control schemes for Hamiltonian simulation in many-body quantum systems that avoid instantaneous control operations and rely solely on realistic bounded-strength control Hamiltonians .
Adam D Bookatz +2 more
doaj +1 more source
Koopman–von Neumann approach to quantum simulation of nonlinear classical dynamics
Quantum computers can be used to simulate nonlinear non-Hamiltonian classical dynamics on phase space by using the generalized Koopman–von Neumann formulation of classical mechanics.
Ilon Joseph
doaj +1 more source
Interval criteria for oscillationof linear Hamiltonian systems
The authors consider the linear matrix Hamiltonian system \[ X'=A(t)X+B(t)Y,\quad Y'=C(t)X-A^*(t)Y,\quad t\geq t_0, \] where \(X(t), Y(t), A(t), B(t)=B^*(t)>0\) and \(C(t)=C^*(t)\) are \(n\times n\)-matrices whose entries real-valued continuous functions. By employing the substitution \(W(t)=a(t)[Y(t)X^{-1}(t)+f(t)B^{-1}(t)]\) and a fundamental matrix \
Fanwei Meng, Yuangong Sun
openaire +2 more sources
Spin and Charge Control of Topological End States in Chiral Graphene Nanoribbons on a 2D Ferromagnet
Chiral graphene nanoribbons on a ferromagnetic gadolinium‐gold surface alloy display tunable spin and charge states at their termini. Atomic work function variations and exchange fields enabe transitions between singlet, doublet, and triplet configurations.
Leonard Edens +8 more
wiley +1 more source
Higher-order quantum transformations of Hamiltonian dynamics
We present a quantum algorithm to achieve higher-order transformations of Hamiltonian dynamics. Namely, the algorithm takes as input a finite number of queries to a black-box seed Hamiltonian dynamics to simulate a desired Hamiltonian.
Tatsuki Odake +3 more
doaj +1 more source
Change in Hamiltonian General Relativity from the Lack of a Time-like Killing Vector Field [PDF]
In General Relativity in Hamiltonian form, change has seemed to be missing, defined only asymptotically, or otherwise obscured at best, because the Hamiltonian is a sum of first-class constraints and a boundary term and thus supposedly generates gauge ...
Pitts, J. Brian, J. Brian Pitts
core
Indefinite Hamiltonian systems whose Titchmarsh–Weyl coefficients have no finite generalized poles of non-positive type [PDF]
The two-dimensional Hamiltonian system (*) y'(x)=zJH(x)y(x), x∈(a,b), where the Hamiltonian H takes non-negative 2x2-matrices as values, and $J:= \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}$, has attracted a lot of interest over the past decades ...
Harald Woracek +3 more
core +1 more source
Magnetic doping of the topological insulator Bi2Te3 with erbium adatoms induces out‐of‐plane magnetism and breaks time‐reversal symmetry, opening a Dirac gap and driving a Fermi surface transition from hexagonal to star‐of‐David geometry. Microscopy, spectroscopy, and magnetic dichroism reveal atomically controlled magnetic interactions that tailor the
Beatriz Muñiz Cano +18 more
wiley +1 more source
Information Geometry of Complex Hamiltonians and Exceptional Points
Information geometry provides a tool to systematically investigate the parameter sensitivity of the state of a system. If a physical system is described by a linear combination of eigenstates of a complex (that is, non-Hermitian) Hamiltonian, then there ...
Dorje C. Brody, Eva-Maria Graefe
doaj +1 more source
Hot spots along the Fermi contour of high-T c cuprates analyzed by s-d exchange interaction
Article Highlights Strong anisotropy of the scattering rate along the Fermi surface is explained as a consequence of s-d Kondo interaction. The linear temperature dependence of the Ohmic resistance is caused by wave scattering by thermal density ...
Todor M. Mishonov +3 more
doaj +1 more source

