Spatial non-locality of electronic correlations beyond GW approximation

Quantum entanglement is popularly believed to give rise to spooky action at a distance of a kind that Einstein decisively rejected. Indeed, important recent experiments on systems assigned entangled states have been claimed to refute Einstein by exhibiting such spooky action. After reviewing two considerations in favor of this view I argue that quantum theory can be used to explain puzzling correlations correctly predicted by assignment of entangled quantum states with no such instantaneous action at a distance. We owe both considerations in favor of the view to arguments of John Bell. I present simplified forms of these arguments as well as a game that provides insight into the situation. The argument I give in response turns on a prescriptive view of quantum states that differs both from Dirac’s (as stated in Chapter 2) and Einstein’s.

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Phenomena and devices at the quantum scale and the mesoscale

10.1093/oso/9780198759874.003.0003 ◽

2017 ◽

Author(s):

Sandip Tiwari

Keyword(s):

Coulomb Blockade ◽

Secure Communication ◽

Quantum Hall ◽

Nanoscale Device ◽

Self Energy ◽

Stability Diagrams ◽

Charge Stability ◽

Bohm Effect ◽

Aharonov Bohm ◽

Non Locality

Unique nanoscale phenomena arise in quantum and mesoscale properties and there are additional intriguing twists from effects that are classical in origin. In this chapter, these are brought forth through an exploration of quantum computation with the important notions of superposition, entanglement, non-locality, cryptography and secure communication. The quantum mesoscale and implications of nonlocality of potential are discussed through Aharonov-Bohm effect, the quantum Hall effect in its various forms including spin, and these are unified through a topological discussion. Single electron effect as a classical phenomenon with Coulomb blockade including in multiple dot systems where charge stability diagrams may be drawn as phase diagram is discussed, and is also extended to explore the even-odd and Kondo consequences for quantum-dot transport. This brings up the self-energy discussion important to nanoscale device understanding.

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Quantum Becoming?

10.1093/oso/9780198797302.003.0004 ◽

2017 ◽

Author(s):

Craig Callender

Keyword(s):

Quantum Mechanics ◽

Quantum Theory ◽

Quantum Time ◽

Quantum Non Locality ◽

Time Quantum ◽

Temporal Becoming ◽

Non Locality ◽

Quantum Wavefunction

Two of quantum mechanics’ more famed and spooky features have been invoked in defending the idea that quantum time is congenial to manifest time. Quantum non-locality is said by some to make a preferred foliation of spacetime necessary, and the collapse of the quantum wavefunction is held to vindicate temporal becoming. Although many philosophers and physicists seek relief from relativity’s assault on time in quantum theory, assistance is not so easily found.

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Classical Kinetic Theory

10.1093/oso/9780198797241.003.0003 ◽

2018 ◽

Author(s):

Klaus Morawetz

Keyword(s):

Kinetic Equation ◽

Equation Of State ◽

Mean Field ◽

Ideal Gas ◽

Hydrodynamic Equations ◽

Free Particles ◽

Internal Mechanism ◽

The Mean ◽

Energy Gains ◽

Non Locality

The classical non-ideal gas shows that the two original concepts of the pressure based of the motion and the forces have eventually developed into drift and dissipation contributions. Collisions of realistic particles are nonlocal and non-instant. A collision delay characterizes the effective duration of collisions, and three displacements, describe its effective non-locality. Consequently, the scattering integral of kinetic equation is nonlocal and non-instant. The non-instant and nonlocal corrections to the scattering integral directly result in the virial corrections to the equation of state. The interaction of particles via long-range potential tails is approximated by a mean field which acts as an external field. The effect of the mean field on free particles is covered by the momentum drift. The effect of the mean field on the colliding pairs causes the momentum and the energy gains which enter the scattering integral and lead to an internal mechanism of energy conversion. The entropy production is shown and the nonequilibrium hydrodynamic equations are derived. Two concepts of quasiparticle, the spectral and the variational one, are explored with the help of the virial of forces.

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Erratum: Efficient implementation of the GW approximation within the all-electron FLAPW method [Phys. Rev. B 81 , 125102 (2010)]

Physical Review B ◽

10.1103/physrevb.104.039901 ◽

2021 ◽

Vol 104 (3) ◽

Author(s):

Christoph Friedrich ◽

Stefan Blügel ◽

Arno Schindlmayr

Keyword(s):

Method Phys ◽

Efficient Implementation ◽

Gw Approximation ◽

Flapw Method

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How to Erase Quantum Monogamy?

Quantum Reports ◽

10.3390/quantum3010004 ◽

2021 ◽

Vol 3 (1) ◽

pp. 53-67

Author(s):

Ghenadie Mardari

Keyword(s):

Quantum System ◽

Quantum Entanglement ◽

The Other ◽

Arrow Of Time ◽

Quantum Level ◽

Delayed Choice ◽

Other Hand ◽

The One ◽

Quantum Erasure ◽

Non Locality

The phenomenon of quantum erasure exposed a remarkable ambiguity in the interpretation of quantum entanglement. On the one hand, the data is compatible with the possibility of arrow-of-time violations. On the other hand, it is also possible that temporal non-locality is an artifact of post-selection. Twenty years later, this problem can be solved with a quantum monogamy experiment, in which four entangled quanta are measured in a delayed-choice arrangement. If Bell violations can be recovered from a “monogamous” quantum system, then the arrow of time is obeyed at the quantum level.

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