M.A. Continentino, Quantum Scaling in Many-Body Systems, in: Lectures Notes in Physics, Vol. 67, World Scientific, 2001.M.A. Continentino, Quantum Scaling in Many-Body Systems (World Scientific, Singapore, 2001)M.A. Continentino, Quantum scaling in many-body systems, Phys. Rep. 239, ...
In this paper we discuss the properties of the reduced density matrix of quantum many body systems with permutational symmetry and present basic quantification of the entanglement in terms of the von Neumann (VNE), Renyi and Tsallis entropies. In particular, we show, on the specific example of...
In this section we specialize the SW method to many-body systems such as spin chains and spin lattices. The Hilbert space describing these systems has a tensor product structure H=⨂a=1NHa, where Ha is a local Hilbert space describing the ath spin and N is the total number of spins. ...
Quantum many-body theory of qubit decoherence in a finite-size spin bath. II. Ensemble dynamics. Phys. Rev. B 79, 115320 (2009). Google Scholar Witzel, W. M. & Das Sarma, S. Quantum theory for electron spin decoherence induced by nuclear spin dynamics in semiconductor quantum computer ...
In all cases, N = 16 qubits are used, and imperfect quantum states are prepared via phase rotations such that the many-body fidelity overlap becomes 0.5 (red dashed line). Additionally, chaotic evolution is performed such that the initial state is at infinite effective temperature to apply...
scaling of the many-body Thouless timetTh—the onset of RMT—, and the bump amplitude are more sensitive to variations in atom number than the lattice size regardless of the hyperfine structure, the symmetry classes, or the choice of driving protocol. Moreover,tThscaling and the increase of ...
The quantum information approach to many-body physics has been very successful in giving new insights and novel numerical methods. In these lecture notes we take a vertical view of the subject, starting from general concepts and at each step delving into
Quantum computers, on the other hand, can explore many paths in parallel through superposition.Additionally, qubits can interact with one another through a phenomenon known as entanglement. Entanglement allows qubits to scale exponentially; two qubits, for example, can store and process four bits of...
scaling of the many-body Thouless timetTh—the onset of RMT—, and the bump amplitude are more sensitive to variations in atom number than the lattice size regardless of the hyperfine structure, the symmetry classes, or the choice of driving protocol. Moreover,tThscaling and the increase of ...
In the language of physics, each variable can be thought of as one of L spins in a many-body system with ∣M∣ interactions. Then, each basis state in \({\left|\psi \right\rangle }_{{{\rm{out}}},M}\) of the variable qubits represents a spin configuration. In the paramagnetic p...