Search results

...athematical relationship that occurs between quantities measured in the [[quantum Hall effect]]. It describes a relationship between the [[Anisotropy|anisot ...9-06-15 |title=Semicircle: An exact relation in the integer and fractional quantum Hall effect |url=https://iopscience.iop.org/article/10.1209/epl/i1999-00331 ...

...omology|cohomology theories]] to classify and describe various topological phases of matter, such as [[topological order]] and [[symmetry-protected topologic ...=0003-4916 |doi-access=free}}</ref> It is widely believed that topological phases are uniquely determined by their anyon content and their chiral central cha ...

...e spherical harmonics as a coefficient <math>c</math>.<ref>John C. Slater, Quantum Theory of Atomic Structure, McGraw-Hill (New York, 1960), Volume I</ref> Th ...</math> and integrate, using the conjugate property and being careful with phases and normalisations: ...

...0307|s2cid=221103573 }}</ref> Classical shadow is useful for [[Fidelity of quantum states|direct fidelity estimation]], entanglement verification, estimating ...ate]]s of quantum many-body systems and classify quantum [[State of matter|phases of matter]]. ...

| title = The Multiverse Interpretation of Quantum Mechanics ...rl=https://link.springer.com/chapter/10.1007/978-0-387-87499-9_16 |journal=Quantum Mechanics of Fundamental Systems: The Quest for Beauty and Simplicity |lang ...

The '''transverse field Ising model''' is a quantum version of the classical [[Ising model]]. It features a lattice with neares ...is means classical statistical mechanics cannot describe this model, and a quantum treatment is needed. ...

{{Short description|Quantum mechanical model with coupled spins ...''' is a one-dimensional [[quantum mechanics|quantum]] [[Heisenberg model (quantum)|Heisenberg spin model]] in which the nearest-neighbour antiferromagnetic e ...

...ies and modular tensor categories to the [[algebraic theory of topological quantum information]], this theorem has found various uses within [[mathematical ph == Interpretation in terms of topological quantum field theory == ...

...53135907 }}</ref> is a kind of order in [[absolute zero|zero-temperature]] quantum-mechanical states of matter that have a symmetry and a finite energy gap. Using the notion of [[quantum entanglement]], we can say that SPT states are [[short-range entanglement|s ...

...d on a lattice with <math>N</math> states on each site. The [[Hamiltonian (quantum mechanics)|Hamiltonian]] of this model is ...del. When <math> N=3</math> the quantum clock model is equivalent to the [[quantum three-state Potts model]]. When <math>N=4</math>, the model is again equiva ...

In [[quantum mechanics]], the '''quantum revival'''<ref> | title = Periodic spontaneous collapse and revival in a simple quantum model ...

{{Short description|Phenomenon in quantum mechanics}} ...uents. One of the earliest and most prominent examples is the [[fractional quantum Hall effect]], where the constituent particles are [[electrons]] but the qu ...

...example is the [[Toric code|toric code model]], which is a special case of quantum double model by setting input group as cyclic group <math>\mathbb{Z}_2</mat == Kitaev quantum double model == ...

| thesis_title = Quantum electrodynamics at infinite momentum: applications to high energy scatterin ...his PhD from [[Stanford University]] under [[James Bjorken]] with thesis ''Quantum electrodynamics at infinite momentum: applications to high energy scatterin ...

...can English|date=January 2019}}{{Short description|Phenomenon in many-body quantum systems ...n| last2=Niu | first2=Q. | title=Ground-state degeneracy of the fractional quantum Hall states in the presence of a random potential and on high-genus Riemann ...

...r a global global <math> \mathbb{Z}_3 </math> transformation, they pick up phases <math> \sigma_a \to e^{2\pi i a/3} \sigma_a </math> and <math> \psi_a \to e ...low energy effective theory at the phase transition of the one-dimensional quantum three-state Potts model. ...

...2=Ueda|first2=Masahito|title=Spinor Bose gases: Symmetries, magnetism, and quantum dynamics|journal=Reviews of Modern Physics|volume=85|issue=3|year=2013|page which described the possible mean-field phases of spin-one spinor condensates. ...

...first1=Paolo|last2=Chen|first2=Wei|last3=Chitra|first3=R.|title=Generating quantum multicriticality in topological insulators by periodic driving|journal=Phys ...code=2017RvMP...89d0501K}}</ref> Transitions between different topological phases are usually called topological phase transitions, which are characterized b ...

...[quantum field theory]] may be modified by [[renormalization]] in the full quantum theory. Renormalization theorems are common in theories with a sufficient ...the fact that certain objects must have a holomorphic dependence on the [[quantum field]]s and [[coupling constant]]s. In this case the nonrenormalization t ...

A '''quantum limit''' in physics is a limit on measurement accuracy at quantum scales.<ref name=QMeas_Br_Kh> |title=Quantum Measurement ...