Matrix Product States and Tensor Network States
... – a local property (order parameter) → Landau theory of phases Behavior insensitive to boundary conditions, topology, ... ...
... – a local property (order parameter) → Landau theory of phases Behavior insensitive to boundary conditions, topology, ... ...
Decoherence and the Transition from Quantum to Classical–Revisited
... a suitable classical device could be found to carry out the task. In the absence of a crisp criterion to distinguish between quantum and classical, an identification of the classical with the macroscopic has often been tentatively accepted. The inadequacy of this approach has become apparent as a re ...
... a suitable classical device could be found to carry out the task. In the absence of a crisp criterion to distinguish between quantum and classical, an identification of the classical with the macroscopic has often been tentatively accepted. The inadequacy of this approach has become apparent as a re ...
The Physics of Low-energy Electron-Molecule Collisions
... of the idea behind eigenfunction-expansiontheories,we embark on a description of the basic physics of electron-moleculescattering. This discussion, which occupies Section2, is limited to concerns that are related to the solution of the Schrodinger equation for the collision. Following the descriptio ...
... of the idea behind eigenfunction-expansiontheories,we embark on a description of the basic physics of electron-moleculescattering. This discussion, which occupies Section2, is limited to concerns that are related to the solution of the Schrodinger equation for the collision. Following the descriptio ...
quantum computer graphics algorithms
... these states cannot be reproduced classically and constitute an essential resource of quantum information processing called entanglement. These remarkable properties of quantum systems allowed the formulation of optimal algorithms for two fundamental problems: integer factorization (Shor's algorithm ...
... these states cannot be reproduced classically and constitute an essential resource of quantum information processing called entanglement. These remarkable properties of quantum systems allowed the formulation of optimal algorithms for two fundamental problems: integer factorization (Shor's algorithm ...
107, 195303 (2011)
... uniform s-wave superfluid in the presence of both Zeeman field and Rashba type of SOC. Under the mean-field approximation, we derive the superfluid gap and atom density equations and solve them self-consistently in the BCSBEC crossover region. Our main results are the following: (I) It is well known ...
... uniform s-wave superfluid in the presence of both Zeeman field and Rashba type of SOC. Under the mean-field approximation, we derive the superfluid gap and atom density equations and solve them self-consistently in the BCSBEC crossover region. Our main results are the following: (I) It is well known ...
9 Quantum Phases and Phase Transitions of Mott
... classify the quantum critical points accessed by the pressure or field-tuning experiments. The purpose of this article is to review recent theoretical work towards achieving this goal. We will focus mainly on the case of two spatial dimensions (d), but our methods and results often have simple genera ...
... classify the quantum critical points accessed by the pressure or field-tuning experiments. The purpose of this article is to review recent theoretical work towards achieving this goal. We will focus mainly on the case of two spatial dimensions (d), but our methods and results often have simple genera ...
Renormalization
In quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, renormalization is any of a collection of techniques used to treat infinities arising in calculated quantities.Renormalization specifies relationships between parameters in the theory when the parameters describing large distance scales differ from the parameters describing small distances. Physically, the pileup of contributions from an infinity of scales involved in a problem may then result in infinities. When describing space and time as a continuum, certain statistical and quantum mechanical constructions are ill defined. To define them, this continuum limit, the removal of the ""construction scaffolding"" of lattices at various scales, has to be taken carefully, as detailed below.Renormalization was first developed in quantum electrodynamics (QED) to make sense of infinite integrals in perturbation theory. Initially viewed as a suspect provisional procedure even by some of its originators, renormalization eventually was embraced as an important and self-consistent actual mechanism of scale physics in several fields of physics and mathematics. Today, the point of view has shifted: on the basis of the breakthrough renormalization group insights of Kenneth Wilson, the focus is on variation of physical quantities across contiguous scales, while distant scales are related to each other through ""effective"" descriptions. All scales are linked in a broadly systematic way, and the actual physics pertinent to each is extracted with the suitable specific computational techniques appropriate for each.