The Experts below are selected from a list of 1365 Experts worldwide ranked by ideXlab platform

Juven Wang - One of the best experts on this subject based on the ideXlab platform.

  • quantum statistics and spacetime topology quantum surgery formulas
    Annals of Physics, 2019
    Co-Authors: Juven Wang, Xiaogang Wen, Shingtung Yau
    Abstract:

    Abstract To formulate the universal constraints of quantum statistics data of generic long-range entangled quantum systems, we introduce the geometric-topology surgery theory on spacetime manifolds where quantum systems reside, cutting and gluing the associated quantum amplitudes, specifically in 2+1 and 3+1 spacetime dimensions. First, we introduce the fusion data for worldline and worldsheet operators capable of creating anyonic excitations of particles and strings, well-defined in gapped states of matter with intrinsic topological orders. Second, we introduce the Braiding statistics data of particles and strings, such as the geometric Berry matrices for particle–string Aharonov–Bohm, 3-string, 4-string, or multi-string adiabatic loop Braiding Process, encoded by submanifold links, in the closed spacetime 3-manifolds and 4-manifolds. Third, we derive new “quantum surgery” formulas and constraints, analogous to Verlinde formula associating fusion and Braiding statistics data via spacetime surgery, essential for defining the theory of topological orders, 3d and 4d TQFTs and potentially correlated to bootstrap boundary physics such as gapless modes, extended defects, 2d and 3d conformal field theories or quantum anomalies. This article is meant to be an extended and further detailed elaboration of our previous work Wang, Wen and Yau (2016) [1] and Chapter 6 of Wang (2015) [2] . Our theory applies to general quantum theories and quantum mechanical systems, also applicable to, but not necessarily requiring the quantum field theory description.

  • quantum statistics and spacetime topology quantum surgery formulas
    arXiv: Quantum Physics, 2019
    Co-Authors: Juven Wang, Xiaogang Wen, Shingtung Yau
    Abstract:

    To formulate the universal constraints of quantum statistics data of generic long-range entangled quantum systems, we introduce the geometric-topology surgery theory on spacetime manifolds where quantum systems reside, cutting and gluing the associated quantum amplitudes, specifically in 2+1 and 3+1 spacetime dimensions. First, we introduce the fusion data for worldline and worldsheet operators capable of creating anyonic excitations of particles and strings, well-defined in gapped states of matter with intrinsic topological orders. Second, we introduce the Braiding statistics data of particles and strings, such as the geometric Berry matrices for particle-string Aharonov-Bohm, 3-string, 4-string, or multi-string adiabatic loop Braiding Process, encoded by submanifold linkings, in the closed spacetime 3-manifolds and 4-manifolds. Third, we derive new `quantum surgery' formulas and constraints, analogous to Verlinde formula associating fusion and Braiding statistics data via spacetime surgery, essential for defining the theory of topological orders, 3d and 4d TQFTs and potentially correlated to bootstrap boundary physics such as gapless modes, extended defects, 2d and 3d conformal field theories or quantum anomalies. This article is meant to be an extended and further detailed elaboration of our previous work [arXiv:1602.05951] and Chapter 6 of [arXiv:1602.05569]. Our theory applies to general quantum theories and quantum mechanical systems, also applicable to, but not necessarily requiring the quantum field theory description.

Shingtung Yau - One of the best experts on this subject based on the ideXlab platform.

  • quantum statistics and spacetime topology quantum surgery formulas
    Annals of Physics, 2019
    Co-Authors: Juven Wang, Xiaogang Wen, Shingtung Yau
    Abstract:

    Abstract To formulate the universal constraints of quantum statistics data of generic long-range entangled quantum systems, we introduce the geometric-topology surgery theory on spacetime manifolds where quantum systems reside, cutting and gluing the associated quantum amplitudes, specifically in 2+1 and 3+1 spacetime dimensions. First, we introduce the fusion data for worldline and worldsheet operators capable of creating anyonic excitations of particles and strings, well-defined in gapped states of matter with intrinsic topological orders. Second, we introduce the Braiding statistics data of particles and strings, such as the geometric Berry matrices for particle–string Aharonov–Bohm, 3-string, 4-string, or multi-string adiabatic loop Braiding Process, encoded by submanifold links, in the closed spacetime 3-manifolds and 4-manifolds. Third, we derive new “quantum surgery” formulas and constraints, analogous to Verlinde formula associating fusion and Braiding statistics data via spacetime surgery, essential for defining the theory of topological orders, 3d and 4d TQFTs and potentially correlated to bootstrap boundary physics such as gapless modes, extended defects, 2d and 3d conformal field theories or quantum anomalies. This article is meant to be an extended and further detailed elaboration of our previous work Wang, Wen and Yau (2016) [1] and Chapter 6 of Wang (2015) [2] . Our theory applies to general quantum theories and quantum mechanical systems, also applicable to, but not necessarily requiring the quantum field theory description.

  • quantum statistics and spacetime topology quantum surgery formulas
    arXiv: Quantum Physics, 2019
    Co-Authors: Juven Wang, Xiaogang Wen, Shingtung Yau
    Abstract:

    To formulate the universal constraints of quantum statistics data of generic long-range entangled quantum systems, we introduce the geometric-topology surgery theory on spacetime manifolds where quantum systems reside, cutting and gluing the associated quantum amplitudes, specifically in 2+1 and 3+1 spacetime dimensions. First, we introduce the fusion data for worldline and worldsheet operators capable of creating anyonic excitations of particles and strings, well-defined in gapped states of matter with intrinsic topological orders. Second, we introduce the Braiding statistics data of particles and strings, such as the geometric Berry matrices for particle-string Aharonov-Bohm, 3-string, 4-string, or multi-string adiabatic loop Braiding Process, encoded by submanifold linkings, in the closed spacetime 3-manifolds and 4-manifolds. Third, we derive new `quantum surgery' formulas and constraints, analogous to Verlinde formula associating fusion and Braiding statistics data via spacetime surgery, essential for defining the theory of topological orders, 3d and 4d TQFTs and potentially correlated to bootstrap boundary physics such as gapless modes, extended defects, 2d and 3d conformal field theories or quantum anomalies. This article is meant to be an extended and further detailed elaboration of our previous work [arXiv:1602.05951] and Chapter 6 of [arXiv:1602.05569]. Our theory applies to general quantum theories and quantum mechanical systems, also applicable to, but not necessarily requiring the quantum field theory description.

Roland Hinterhölzl - One of the best experts on this subject based on the ideXlab platform.

  • Complete simulation Process chain for the manufacturing of braided composite parts
    Composites Part A-applied Science and Manufacturing, 2017
    Co-Authors: Elinor Swery, T. Hans, M. Bultez, W. Wijaya, Piaras Kelly, Roland Hinterhölzl, Simon Bickerton
    Abstract:

    Abstract A complete simulation Process chain has been used to predict the production and subsequent injection of over-braided textile preforms. A range of mandrel geometries and Braiding configurations were used to illustrate how these factors affect the resin injection of the part. Braiding simulations were first completed, predicting the geometry of the braided textile throughout the mandrel. Following this, a range of multi-layered unit-cells were modelled, capturing the variations in geometry. These virtual stacks were produced with both no and maximum in-plane ply shift so as to capture the range of stacking configurations possible. Following a compaction simulation of these stacks, their in-plane permeability tensor was predicted and used to identify the permeability of the braided preform at different regions. This was used to predict the propagation of the resin flow front, highlighting the effects that the mandrel geometry, Braiding Process parameters and stacking method have on the resulting resin injection.

  • finite element simulation of the Braiding Process for arbitrary mandrel shapes
    Composites Part A-applied Science and Manufacturing, 2015
    Co-Authors: T. Hans, J Cichosz, M Brand, Roland Hinterhölzl
    Abstract:

    Abstract An approach to simulate the two-dimensional Braiding Process using a commercial explicit finite element software is presented. Preforms with generic shapes are analyzed. A procedure is given to determine the boundary conditions of the Braiding mandrel including the extraction of necessary geometry information. The friction coefficients needed as input parameters are determined in separate tests. The simulation results are Processed with an algorithm that derives the Braiding angle and the axial spacing of the yarns. For validation, a generic mandrel geometry is overbraided and a method to compare simulation and experiment is presented. The preform is analyzed using an optical sensor. The measurements are filtered and averaged. The simulation model is validated by comparing the Braiding angle of simulation and experiment. A good agreement between simulation and experimental results is achieved.

T. Hans - One of the best experts on this subject based on the ideXlab platform.

  • Complete simulation Process chain for the manufacturing of braided composite parts
    Composites Part A-applied Science and Manufacturing, 2017
    Co-Authors: Elinor Swery, T. Hans, M. Bultez, W. Wijaya, Piaras Kelly, Roland Hinterhölzl, Simon Bickerton
    Abstract:

    Abstract A complete simulation Process chain has been used to predict the production and subsequent injection of over-braided textile preforms. A range of mandrel geometries and Braiding configurations were used to illustrate how these factors affect the resin injection of the part. Braiding simulations were first completed, predicting the geometry of the braided textile throughout the mandrel. Following this, a range of multi-layered unit-cells were modelled, capturing the variations in geometry. These virtual stacks were produced with both no and maximum in-plane ply shift so as to capture the range of stacking configurations possible. Following a compaction simulation of these stacks, their in-plane permeability tensor was predicted and used to identify the permeability of the braided preform at different regions. This was used to predict the propagation of the resin flow front, highlighting the effects that the mandrel geometry, Braiding Process parameters and stacking method have on the resulting resin injection.

  • finite element simulation of the Braiding Process for arbitrary mandrel shapes
    Composites Part A-applied Science and Manufacturing, 2015
    Co-Authors: T. Hans, J Cichosz, M Brand, Roland Hinterhölzl
    Abstract:

    Abstract An approach to simulate the two-dimensional Braiding Process using a commercial explicit finite element software is presented. Preforms with generic shapes are analyzed. A procedure is given to determine the boundary conditions of the Braiding mandrel including the extraction of necessary geometry information. The friction coefficients needed as input parameters are determined in separate tests. The simulation results are Processed with an algorithm that derives the Braiding angle and the axial spacing of the yarns. For validation, a generic mandrel geometry is overbraided and a method to compare simulation and experiment is presented. The preform is analyzed using an optical sensor. The measurements are filtered and averaged. The simulation model is validated by comparing the Braiding angle of simulation and experiment. A good agreement between simulation and experimental results is achieved.

Xiaogang Wen - One of the best experts on this subject based on the ideXlab platform.

  • quantum statistics and spacetime topology quantum surgery formulas
    Annals of Physics, 2019
    Co-Authors: Juven Wang, Xiaogang Wen, Shingtung Yau
    Abstract:

    Abstract To formulate the universal constraints of quantum statistics data of generic long-range entangled quantum systems, we introduce the geometric-topology surgery theory on spacetime manifolds where quantum systems reside, cutting and gluing the associated quantum amplitudes, specifically in 2+1 and 3+1 spacetime dimensions. First, we introduce the fusion data for worldline and worldsheet operators capable of creating anyonic excitations of particles and strings, well-defined in gapped states of matter with intrinsic topological orders. Second, we introduce the Braiding statistics data of particles and strings, such as the geometric Berry matrices for particle–string Aharonov–Bohm, 3-string, 4-string, or multi-string adiabatic loop Braiding Process, encoded by submanifold links, in the closed spacetime 3-manifolds and 4-manifolds. Third, we derive new “quantum surgery” formulas and constraints, analogous to Verlinde formula associating fusion and Braiding statistics data via spacetime surgery, essential for defining the theory of topological orders, 3d and 4d TQFTs and potentially correlated to bootstrap boundary physics such as gapless modes, extended defects, 2d and 3d conformal field theories or quantum anomalies. This article is meant to be an extended and further detailed elaboration of our previous work Wang, Wen and Yau (2016) [1] and Chapter 6 of Wang (2015) [2] . Our theory applies to general quantum theories and quantum mechanical systems, also applicable to, but not necessarily requiring the quantum field theory description.

  • quantum statistics and spacetime topology quantum surgery formulas
    arXiv: Quantum Physics, 2019
    Co-Authors: Juven Wang, Xiaogang Wen, Shingtung Yau
    Abstract:

    To formulate the universal constraints of quantum statistics data of generic long-range entangled quantum systems, we introduce the geometric-topology surgery theory on spacetime manifolds where quantum systems reside, cutting and gluing the associated quantum amplitudes, specifically in 2+1 and 3+1 spacetime dimensions. First, we introduce the fusion data for worldline and worldsheet operators capable of creating anyonic excitations of particles and strings, well-defined in gapped states of matter with intrinsic topological orders. Second, we introduce the Braiding statistics data of particles and strings, such as the geometric Berry matrices for particle-string Aharonov-Bohm, 3-string, 4-string, or multi-string adiabatic loop Braiding Process, encoded by submanifold linkings, in the closed spacetime 3-manifolds and 4-manifolds. Third, we derive new `quantum surgery' formulas and constraints, analogous to Verlinde formula associating fusion and Braiding statistics data via spacetime surgery, essential for defining the theory of topological orders, 3d and 4d TQFTs and potentially correlated to bootstrap boundary physics such as gapless modes, extended defects, 2d and 3d conformal field theories or quantum anomalies. This article is meant to be an extended and further detailed elaboration of our previous work [arXiv:1602.05951] and Chapter 6 of [arXiv:1602.05569]. Our theory applies to general quantum theories and quantum mechanical systems, also applicable to, but not necessarily requiring the quantum field theory description.