TOWARDS THE FRACTIONAL QUANTUM HALL EFFECT: A
... Laughlin first suggested that IQHE should have a geometric explanation [22]. More precisely, the fact that the quantization of the Hall conductance appears as a very robust phenomenon, insensitive to changes in the sample and its geometry, or to the presence of impurities, suggests the fact that the ...
... Laughlin first suggested that IQHE should have a geometric explanation [22]. More precisely, the fact that the quantization of the Hall conductance appears as a very robust phenomenon, insensitive to changes in the sample and its geometry, or to the presence of impurities, suggests the fact that the ...
Quasiparticles in the Quantum Hall Effect Janik Kailasvuori Stockholm University
... The content of this research is technical and mathematical and can most likely only be appreciated by those who have studied physics at university level, and among them probably only by a small fraction specialised into the same branch. (Alas, the very specialised nature of today’s scientific resear ...
... The content of this research is technical and mathematical and can most likely only be appreciated by those who have studied physics at university level, and among them probably only by a small fraction specialised into the same branch. (Alas, the very specialised nature of today’s scientific resear ...
Quantum Proofs for Classical Theorems
... is to go to complex numbers: using the identity eix = cos x + i sin x we have ei(x+y) = eix eiy = (cos x + i sin x)(cos y + i sin y) = cos x cos y − sin x sin y + i(cos x sin y + sin x cos y) . Taking the real parts of the two sides gives our identity. Another example is the probabilistic method, as ...
... is to go to complex numbers: using the identity eix = cos x + i sin x we have ei(x+y) = eix eiy = (cos x + i sin x)(cos y + i sin y) = cos x cos y − sin x sin y + i(cos x sin y + sin x cos y) . Taking the real parts of the two sides gives our identity. Another example is the probabilistic method, as ...
A Dialogue Between Contemporary
... In this section, I’m first going to briefly recount the basic attitudes toward science which have formed our modern conceptions of the issue. This is necessary as a reminder of the general attitudes that frame the discussion even today. Then in section three I will highlight how precisely Jaeger, Po ...
... In this section, I’m first going to briefly recount the basic attitudes toward science which have formed our modern conceptions of the issue. This is necessary as a reminder of the general attitudes that frame the discussion even today. Then in section three I will highlight how precisely Jaeger, Po ...
Mixed quantum–classical dynamics
... one. Notable are the RedÐeld approach4,5 and the classical path method.6,7 But these methods do not properly describe the back reaction of the quantum system on the classical one. Two approaches have emerged that attempt to treat the interactions between quantum and classical systems in a self-consi ...
... one. Notable are the RedÐeld approach4,5 and the classical path method.6,7 But these methods do not properly describe the back reaction of the quantum system on the classical one. Two approaches have emerged that attempt to treat the interactions between quantum and classical systems in a self-consi ...
Primer on topological insulators
... The detailed discussion of the bulk-surface correspondence alluded to above will be the subject of the second part of these notes. At this point, all we need to know that it holds responsible for the nonvanishing of a class of physical observables generally known as Hall conductivities. Suppose you ...
... The detailed discussion of the bulk-surface correspondence alluded to above will be the subject of the second part of these notes. At this point, all we need to know that it holds responsible for the nonvanishing of a class of physical observables generally known as Hall conductivities. Suppose you ...
Abstract Experiments demonstrating entanglement swapping have
... summarizing our information about the system. While ascribing such a quantum state allows us to predict non-local correlations, this view stops short of recognizing a physical entanglement relation between the particles themselves (if there are such things). Second, consider a Bohmian who takes the ...
... summarizing our information about the system. While ascribing such a quantum state allows us to predict non-local correlations, this view stops short of recognizing a physical entanglement relation between the particles themselves (if there are such things). Second, consider a Bohmian who takes the ...
Relativity and Quantum Field Theory
... must be able to identify the number of particles located in each region.1 Condition (b) is supposed to encode the essential particle characteristic of countability: For a system of particles distributed over various regions of space, an adequate theory must be able to identify a unique value for the ...
... must be able to identify the number of particles located in each region.1 Condition (b) is supposed to encode the essential particle characteristic of countability: For a system of particles distributed over various regions of space, an adequate theory must be able to identify a unique value for the ...