Browsing Quantum Mechanics by Title
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ACConductivity Measure from Heat Production of Free Fermions in Disordered Media
(20151231)We extend (Bru et al. in J Math Phys 56:051901151, 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
(20190122)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
(20211014)In 2017, Lienert and Tumulka proved Born's rule on arbitrary Cauchy surfaces in Minkowski spacetime 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 digitalanalog interactions
(20221001)The quantum approximate optimization algorithm was proposed as a heuristic method for solving combinatorial optimization problems on nearterm quantum computers and may be among the first algorithms to perform useful ... 
A bsymplectic slice theorem
(20220101)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 ... 
BiFrequency Illumination: A QuantumEnhanced Protocol
(20221101)Quantumenhanced, idlerfree 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 frequencydependent reflectivity ... 
Characterization of the QuasiStationary State of an Impurity Driven by Monochromatic Light II: Microscopic Foundations
(20151231)From quantum mechanical first principles only, we rigorously study the timeevolution of a Nlevel atom (impurity) interacting with an external monochromatic light source within an infinite system of free electrons at ... 
Classical dynamics from selfconsistency equations in quantum mechanics
(20220509)During the last three decades, P. Bóna has developed a nonlinear 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 longrange interactions for lattice fermions and quantum spins
(2021)We study the macroscopic dynamical properties of fermion and quantumspin systems with longrange, or meanfield, 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
(20220101)Openair 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
(20240119)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 ... 
DWave pairing driven by bipolaric modes related to giant electronphonon anomalies in highTc superconductors
(20151231)Taking into account microscopic properties of most usual highTc 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 Complextime Determinantal and Pfaffian\ Correlation Functionals in Lattices
(20180124)We supplement the determinantal and Pfaffian bounds of Sims and Warzel (Commun Math Phys 347:903931, 2016) for manybody localization of quasifree fermions, by considering the high dimensional case and complextime ... 
Diagonalizing quadratic bosonic operators by nonautonomous flow equations volker bach
(20160101)We study a nonautonomous, nonlinear 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 Discretenessdriven Relaxation of Collisionless Gravitating Systems: Entropy Evolution in External Potentials, Ndependence, and the Role of Chaos
(20190110)We investigate the old problem of the fast relaxation of collisionless Nbody systems that are collapsing or perturbed, emphasizing the importance of (noncollisional) discreteness effects. We integrate orbit ensembles in ... 
Entanglement of classical and quantum shortrange dynamics in meanfield systems
(20211101)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 ManyBody Systems
(20191030)This thesis is a study of equilibrium and dynamical properties of macroscopic quantum manybody 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
(20180321)Hightemperature superconductors have different properties than conventional superconductors, one of these important properties is nonisotropic symmetry of the order parameter. In this work we present a model that shows ... 
Extended State Space for Describing Renormalized Fock Spaces in QFT
(20220604)In quantum field theory (QFT) models, it often seems natural to use, instead of wave functions from Fock space, wave functions that are not squareintegrable and have prefactors involving divergent integrals (known as ... 
From the 2nd Law of Thermodynamics to AC–Conductivity Measures of Interacting Fermions in Disordered Media
(20150520)We study the dynamics of interacting lattice fermions with random hopping amplitudes and random static potentials, in presence of timedependent electromagnetic fields. The interparticle interaction is shortrange and ...