On the conundrum of deriving exact solutions from approximate
... the expansion of the master equation (10). For any nonGaussian state, infinitely many higher-order cumulants are non-zero both in the classical case [55–57] and in the quantum mechanical case [58–60]. Consequently, the expansion of the Liouvillian is of infinite order and any truncation represents an ...
... the expansion of the master equation (10). For any nonGaussian state, infinitely many higher-order cumulants are non-zero both in the classical case [55–57] and in the quantum mechanical case [58–60]. Consequently, the expansion of the Liouvillian is of infinite order and any truncation represents an ...
Titles and Abstracts - The Institute of Mathematical Sciences
... Hörmander’s theorem for discrete groups. The proof is based on an abstract formulation of Calderón-Zygmund theory for von Neumann algebras which we will briefly introduce if time permits. • Cyril Houdayer: Approximation properties and absence of Cartan subalgebra for free Araki-Woods factors (base ...
... Hörmander’s theorem for discrete groups. The proof is based on an abstract formulation of Calderón-Zygmund theory for von Neumann algebras which we will briefly introduce if time permits. • Cyril Houdayer: Approximation properties and absence of Cartan subalgebra for free Araki-Woods factors (base ...
Paper
... Abstract: The internal quantum state (IQS) is a kind of a pilot-wave (in the Bohmian sense) attached to a macroscopic system and representing its potential field continuously reduced during its exhibition to the external world. This state is maintained as decoherence-free by applying error-correctio ...
... Abstract: The internal quantum state (IQS) is a kind of a pilot-wave (in the Bohmian sense) attached to a macroscopic system and representing its potential field continuously reduced during its exhibition to the external world. This state is maintained as decoherence-free by applying error-correctio ...
Classical limit and quantum logic - Philsci
... In the foundations of physics, the quest of explaining how the laws of classical mechanics arise from the laws of quantum mechanics is known as the classical limit problem (Cohen 1989). Generally, this limit is studied for systems that, due to its interaction with the environment, develop a process ...
... In the foundations of physics, the quest of explaining how the laws of classical mechanics arise from the laws of quantum mechanics is known as the classical limit problem (Cohen 1989). Generally, this limit is studied for systems that, due to its interaction with the environment, develop a process ...
Exact valence bond entanglement entropy and probability
... of the algebra. For our purpose, it is natural to use the loop model representation, where the generators act on the following non-orthogonal but linearly independent basis states. Each basis state corresponds to a pattern of N parentheses and dots, such as () • (())•. The parentheses must obey the ...
... of the algebra. For our purpose, it is natural to use the loop model representation, where the generators act on the following non-orthogonal but linearly independent basis states. Each basis state corresponds to a pattern of N parentheses and dots, such as () • (())•. The parentheses must obey the ...
The integer quantum Hall effect II
... In the last lecture we have seen that for spinless fermions and for a time-reversal invariant system all states are localized in two spatial dimensions. How can we reconcile this with the above argument for the quantization of xy . The answer is, that for the case of a magnetic field, where time rev ...
... In the last lecture we have seen that for spinless fermions and for a time-reversal invariant system all states are localized in two spatial dimensions. How can we reconcile this with the above argument for the quantization of xy . The answer is, that for the case of a magnetic field, where time rev ...
Chirped-frequency excitation of gravitationally bound ultracold
... gravitational potential UðzÞ ¼ mgz is assumed to be linear in the height z and to not depend on the other coordinates, so the problem is essentially one dimensional. The relevant Schrödinger equation is then iℏ∂ t ψ ¼ Hψ, with H ¼ p2z =2m þ mgz. The wave function must vanish at both z → þ∞ and the p ...
... gravitational potential UðzÞ ¼ mgz is assumed to be linear in the height z and to not depend on the other coordinates, so the problem is essentially one dimensional. The relevant Schrödinger equation is then iℏ∂ t ψ ¼ Hψ, with H ¼ p2z =2m þ mgz. The wave function must vanish at both z → þ∞ and the p ...
Stochastic Schrödinger equations
... It has long been recognized that continuous time measurements cannot be described by the standard projection postulate of quantum mechanics. In the late 60s, beginning 70s, Davies developed a theory for continuous time measurement [15] culminating in his book [16]. His mathematical work became known ...
... It has long been recognized that continuous time measurements cannot be described by the standard projection postulate of quantum mechanics. In the late 60s, beginning 70s, Davies developed a theory for continuous time measurement [15] culminating in his book [16]. His mathematical work became known ...
Three-dimensional solids in the limit of high magnetic fields
... Some of the electrons might be in Cooper pairs, and so not be part of the Fermion system. (Action of (r)(r) reduces the number of electrons by two.) Averages of field operators which are zero except in the presence of phase transitions are called “anomalous averages”. Mean field theory can be co ...
... Some of the electrons might be in Cooper pairs, and so not be part of the Fermion system. (Action of (r)(r) reduces the number of electrons by two.) Averages of field operators which are zero except in the presence of phase transitions are called “anomalous averages”. Mean field theory can be co ...
Quantum mechanics near closed timelike lines
... but chronology-violating spacetimes (i.e. , spacetimes containing closed timelike lines) tend also to have other unfamiliar features such as "wormholes" and singularities. These may or may not persist when quantum gravity is taken into account. And they introduce technical and conceptual problems of ...
... but chronology-violating spacetimes (i.e. , spacetimes containing closed timelike lines) tend also to have other unfamiliar features such as "wormholes" and singularities. These may or may not persist when quantum gravity is taken into account. And they introduce technical and conceptual problems of ...
Simulating a simple Quantum Computer
... have been applied, and in the other you may find say 1 gate operation has been applied. Thus cursor1 is not, in general, the same as cursor2 Consequently, the relative states of the program qubits of each computer will then also be different after the measurements of the cursor. Hence projected1 is ...
... have been applied, and in the other you may find say 1 gate operation has been applied. Thus cursor1 is not, in general, the same as cursor2 Consequently, the relative states of the program qubits of each computer will then also be different after the measurements of the cursor. Hence projected1 is ...
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... Quantum mechanics offers a variety of opportunities both to protect information (quantum cryptography) and to improve the precision of measurement, positioning and timing techniques. We are developing the world’s brightest source of narrow band entangled photons and are planning to use this source t ...
... Quantum mechanics offers a variety of opportunities both to protect information (quantum cryptography) and to improve the precision of measurement, positioning and timing techniques. We are developing the world’s brightest source of narrow band entangled photons and are planning to use this source t ...