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Academic Lectures from University of Oxford's Department of Physics.

The video series for this podcast includes content previously published in 2016 as 'Reduced Density Matrices in Quantum Physics and Role of Fermionic Exchange Symmetry': "The interdisciplinary workshop brings together experts in quantum science, as e.g. quantum information theory, quantum chemistry, solid state physics and mathematical physics. The aim is to explore from a conceptual viewpoint the influence of the fermionic exchange symmetry and its consequences for the reduced 1-and 2-fermion picture. In particular, a better understanding should be developed of how the conflict of energy minimization and antisymmetry of the N-fermion quantum state leads to simplified descriptions of fermionic ground states."

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# | Episode Title | Description | People | Date | |
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1 | DMRG in Quantum Chemistry: From its relation to traditional methods to n-orbital density matrices and beyond | In my talk I will attempt to provide an overview on the application of the density matrix renormalization group (DMRG) algorithm in quantum chemistry. | Markus Reiher | 11 Oct 2016 | |

2 | (Almost) 25 Years of DMRG - What Is It About? | In this talk, I will introduce DMRG both from the historical (statistical) and modern (matrix product state) perspective, highlighting why it has become the method of choice for one-dimensional quantum systems in and out of equilibrium. | Ulrich Schollwöck | 11 Oct 2016 | |

3 | Openness of a Many-fermion Quantum System from the Generalized Pauli Principle | Information about the interaction of a many-electron quantum system with its environment is encoded within the one-electron density matrix (1-RDM). | Romit Chakraborty | 11 Oct 2016 | |

4 | Generalized Pauli Constraints in Reduced Density Matrix Functional Theory | Reduced Density Matrix Functional Theory is a method that relies on the 1-1 correspondence between the ground state wavefunction of many electron systems and the first order reduced density matrix(1RDM) and uses the second one as its fundamental valuable. | Iris Theophilou | 11 Oct 2016 | |

5 | Quasipinning and Extended Hartree-Fock Method based on Generalized Pauli Constraints | It is now known that fermionic natural occupation numbers (NON) do not only obey Pauli’s exclusion principle but are even stronger restricted by the so-called generalized Pauli constraints (GPC). | Carlos Benavides-Riveros | 11 Oct 2016 | |

6 | Fermionic Exchange Symmetry: Quantifying its Influence beyond Pauli’s Exclusion Principle | The Pauli exclusion principle has a strong impact on the properties and the behavior of most fermionic quantum systems. Remarkably, even stronger restrictions on fermionic natural occupation numbers follow from the fermionic exchange symmetry. | Felix Tennie | 11 Oct 2016 | |

7 | Pinning of Fermionic Occupation Numbers | The Pauli exclusion principle is a constraint on the natural occupation numbers of fermionic states. | Matthias Christandl | 11 Oct 2016 | |

8 | Calculation Of Generalized Pauli Constraints | In the talk I am planning to explain two different solutions of N-representability problem and then give the algorithm to calculate GPCs. | Murat Altunbulak | 11 Oct 2016 | |

9 | Derivation of the time-dependent Hartree(-Fock)-equation | In the talk I will present recent progress in proving closeness of the microscopic and effective description for systems of many fermions. | Peter Pickl | 11 Oct 2016 | |

10 | Physical Meaning of Natural Orbitals and Natural Occupation Numbers | Physical Meaning of Natural Orbitals and Natural Occupation Numbers | Nicole Helbig | 11 Oct 2016 | |

11 | Introduction and Overview of the Reduced Density Matrix Functional Theory | In this presentation, we review the theoretical foundations of RDMFT the most successful approximations and extensions, we assess present-day functionals on applications to molecular and periodic systems and we discuss the challenges and future prospect | Nektarios N. Lathiotakis | 11 Oct 2016 | |

12 | Quantum Marginal Problem and Generalized Pauli Constraints | I will give an introduction to the univariate quantum marginal problem using an elementary mathematical point of view. In particular, I will explain how extremality of the local spectrum carries structural information about the global wave function. | David Gross | 11 Oct 2016 | |

13 | Two-electron Reduced Density Matrices in Quantum Chemistry and Physics | Strongly correlated quantum systems are not easily described with conventional quantum chemistry formalism because the number of non-negligible configurations grows exponen- tially with the number of orbitals actively participating in the correlation. | David A. Mazziotti | 11 Oct 2016 | |

14 | Entanglement Spectroscopy and its application to the fractional quantum Hall phases | In this talk, we will give an overview of the entanglement spectroscopy with a focus on to the fractional quantum Hall phases. | Nicolas Regnault | 11 Oct 2016 | |

15 | Why should anyone care about computing with anyons? | In this talk Jiannis Pachos discusses a variety of different topics starting from characterizing knot invariants, their quantum simulation with exotic particles called anyons and finally the possible realization of anyons in the laboratory. | Jiannis Pachos | 11 Oct 2016 | |

16 | Quantum Geometry, Exclusion Statistics, and the Geometry of "Flux Attachment" in 2D Landau levels | Duncan Haldane talks about Quantum Geometry, Exclusion Statistics, and the Geometry of "Flux Attachment" in 2D Landau levels. | Duncan Haldane | 11 Oct 2016 | |

17 | Exchange symmetry and anyon virial coefficients | This talk mentions some aspects of the theory of identical particles, for example, treating neutrons and protons as identical particles distinguished by a quantum number called isotopic spin. | Jan Myrheim | 11 Oct 2016 | |

18 | Exchange statistics - Basic concepts | In this talk Jon Magne Leinaas from University of Oslo reviews some of the basic ideas and questions related to the exchange symmetry of identical particles. | Jon Magne Leinaas | 11 Oct 2016 | |

19 | Creative Commons | Higgs boson-like particle discovery claimed at the Large Hadron Collider | Scientists at the Large Hadron Collider claim the discovery of the Higgs boson particle. Alan Barr of Oxford's Physics department, UK physics coordinator for LHC's ATLAS experiment, describes what it means for science. | Alan Barr, Steven Legg | 05 Jul 2012 |

20 | Alan Barr on Particle Physics | Dr Alan Barr, University Lecturer in the Particle Physics group in the University of Oxford's Department of Physics, discusses the particle physics experiments at the Large Hadron Collider, CERN, Switzerland. | Alan Barr, Peter Robinson | 26 Sep 2008 |