Lectures in course PHYS-744: Advanced Topics in Quantum Sciences and Technologies

Covers the formalism of density matrices and quantum master equations in open quantum systems.

Covers the theory of open quantum systems and the dynamics of isolated systems.

Covers trace-preserving maps, master equations, and Lindblad operators in the theory of open quantum systems.

Covers the principles of quantum simulation with cold atoms, including optical dipole potentials and Feshbach resonances.

Theory of Open Quantum Systems

Covers the microscopic derivation of the weak coupling limit and the second-order Born approximation.

Quantum Jump: Theory and Algorithms

Explores the theory of quantum jumps in open quantum systems and their simulation.

Hybrid superconducting / quantum dot circuits

Covers hybrid cavity quantum electrodynamics with quantum dots and Josephson junction arrays, focusing on spin qubits and superconducting qubits.

Stochastic Numerical Methods for Many-Body Quantum Systems

Covers the quantum many-body problem, wave functions, storing wave functions, and example spin models.

Quantum Transport in Thermal Machines

Explores charge and heat quantum transport in thermal machines, emphasizing theoretical tools and applications in mesoscopic physics.

Stochastic Numerical Methods for Quantum Systems

Explores exact diagonalization, mean field states, and Metropolis-Hastings algorithm for quantum systems.

Quantum Transport: Scattering Matrix Approach

Explores quantum transport using the scattering matrix approach to analyze conductance and resistance in electron movement.

Stochastic numerical methods for many-body quantum systems

Explores stochastic methods for quantum systems, including exact diagonalization, variational methods, neural networks, and machine learning.

Quantum Transport: Transmission, Phase Coherence, Conductance

Explores quantum phase coherence, transmission probability, and conductance in mesoscopic devices.

Shot Noise in Quantum Point Contacts

Explores shot noise in quantum point contacts, charge fluctuations, experimental results, and temperature dependence of quasiparticles.

Anyons: Quantum Hall Effect and Composite Fermions

Explores the quantum Hall effect, composite fermions, Moore-Read theory, 5/2 state, Majorana anyons, and thermal conductance in 1D ballistic channels.

Introduction to Quantum Sensing

Introduces quantum sensing and metrology, exploring precision limitations and unified frameworks for analysis with elementary quantum systems.

Quantum Sensing: Rotations and Coherent States

Explores quantum sensing, rotations, and coherent states in the context of two-level systems, the Bloch Sphere, and Rabi oscillations.

Intro to Quantum Sensing

Introduces quantum sensing through Mach-Zehnder interferometers, discussing photon distribution, beam splitters, and entanglement.

Quantum Sensing: Parameter Estimation Theory and Noise Processes

Explores quantum sensing, parameter estimation, noise processes, and photon entanglement.

Intro to Quantum Sensing: Parameter Estimation and Fisher Information

Introduces Fisher Information for parameter estimation based on collected data.