Browsing Quantum Mechanics by Title
Now showing items 1-20 of 50
-
AC-Conductivity Measure from Heat Production of Free Fermions in Disordered Media
(2015-12-31)We extend (Bru et al. in J Math Phys 56:051901-1-51, 2015) in order to study the linear response of free fermions on the lattice within a (independently and identically distributed) random potential to a macroscopic electric ... -
Accuracy of Classical Conductivity Theory at Atomic Scales for Free Fermions in Disordered Media
(2019-01-22)The growing need for smaller electronic components has recently sparked the interest in the breakdown of the classical conductivity theory near the atomic scale, at which quantum effects should dominate. In 2012, experimental ... -
Another Proof of Born's Rule on Arbitrary Cauchy Surfaces
(2021-10-14)In 2017, Lienert and Tumulka proved Born's rule on arbitrary Cauchy surfaces in Minkowski space-time assuming Born's rule and a corresponding collapse rule on horizontal surfaces relative to a fixed Lorentz frame, as well ... -
Approximating the quantum approximate optimization algorithm with digital-analog interactions
(2022-10-01)The quantum approximate optimization algorithm was proposed as a heuristic method for solving combinatorial optimization problems on near-term quantum computers and may be among the first algorithms to perform useful ... -
A b-symplectic slice theorem
(2022-01-01)In this article, motivated by the study of symplectic structures on manifolds with boundary and the systematic study of b -symplectic manifolds started in Guillemin, Miranda, and Pires Adv. Math. 264 (2014), 864–896, we ... -
Bi-Frequency Illumination: A Quantum-Enhanced Protocol
(2022-11-01)Quantum-enhanced, idler-free sensing protocol to measure the response of a target object to the frequency of a probe in a noisy and lossy scenario is proposed. In this protocol, a target with frequency-dependent reflectivity ... -
Characterization of the Quasi-Stationary State of an Impurity Driven by Monochromatic Light II: Microscopic Foundations
(2015-12-31)From quantum mechanical first principles only, we rigorously study the time-evolution of a N-level atom (impurity) interacting with an external monochromatic light source within an infinite system of free electrons at ... -
Classical dynamics from self-consistency equations in quantum mechanics
(2022-05-09)During the last three decades, P. Bóna has developed a non-linear generalization of quantum mechanics, based on symplectic structures for normal states and offering a general setting which is convenient to study the emergence ... -
Classical dynamics generated by long-range interactions for lattice fermions and quantum spins
(2021)We study the macroscopic dynamical properties of fermion and quantum-spin systems with long-range, or mean-field, interactions. The results obtained are far beyond previous ones and require the development of a mathematical ... -
Coplanar Antenna Design for Microwave Entangled Signals Propagating in Open Air
(2022-01-01)Open-air microwave quantum communication and metrology protocols must be able to transfer quantum resources from a cryostat, where they are created, to an environment dominated by thermal noise. Indeed, the states carrying ... -
Correlation constraints and the Bloch geometry of two qubits
(2024-01-19)We present an inequality on the purity of a bipartite state depending solely on the length difference of the local Bloch vectors. For two qubits this inequality is tight for all marginal states and so extends the previously ... -
D-Wave pairing driven by bipolaric modes related to giant electron-phonon anomalies in high-Tc superconductors
(2015-12-31)Taking into account microscopic properties of most usual high-Tc superconductors, like cuprates, we define a class of microscopic model Hamiltonians for two fermions (electrons or holes) and one boson (bipolaron) on the ... -
Decay of Complex-time Determinantal and Pfaffian\ Correlation Functionals in Lattices
(2018-01-24)We supplement the determinantal and Pfaffian bounds of Sims and Warzel (Commun Math Phys 347:903--931, 2016) for many-body localization of quasi-free fermions, by considering the high dimensional case and complex-time ... -
Diagonalizing quadratic bosonic operators by non-autonomous flow equations volker bach
(2016-01-01)We study a non-autonomous, non-linear evolution equation on the space of operators on a complex Hilbert space. We specify assumptions that ensure the global existence of its solutions and allow us to derive its asymptotics ... -
The Discreteness-driven Relaxation of Collisionless Gravitating Systems: Entropy Evolution in External Potentials, N-dependence, and the Role of Chaos
(2019-01-10)We investigate the old problem of the fast relaxation of collisionless N-body systems that are collapsing or perturbed, emphasizing the importance of (noncollisional) discreteness effects. We integrate orbit ensembles in ... -
Entanglement of classical and quantum short-range dynamics in mean-field systems
(2021-11-01)The relationship between classical and quantum mechanics is usually understood via the limit ħ→0. This is the underlying idea behind the quantization of classical objects. The apparent incompatibility of general relativity ... -
Equilibrium and Transport Properties of Quantum Many-Body Systems
(2019-10-30)This thesis is a study of equilibrium and dynamical properties of macroscopic quantum many-body problems. An important part of the manuscript concerns the study of heat and charge transport properties of fermions on the ... -
Existence of “$d$-wave” Pairs and Density Waves in a Class of Microscopic Models for High Transition Temperature Superconductors
(2018-03-21)High-temperature superconductors have different properties than conventional superconductors, one of these important properties is non-isotropic symmetry of the order parameter. In this work we present a model that shows ... -
Extended State Space for Describing Renormalized Fock Spaces in QFT
(2022-06-04)In quantum field theory (QFT) models, it often seems natural to use, instead of wave functions from Fock space, wave functions that are not square-integrable and have prefactors involving divergent integrals (known as ... -
From the 2nd Law of Thermodynamics to AC–Conductivity Measures of Interacting Fermions in Disordered Media
(2015-05-20)We study the dynamics of interacting lattice fermions with random hopping amplitudes and random static potentials, in presence of time-dependent electromagnetic fields. The interparticle interaction is short-range and ...