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This course on quantum mechanics is divided in two parts:
 
The aim of the first part is to review the basis of quantum mechanics. The course aims to provide an overview of the perturbation theory to handle perturbations in quantum systems. Time evolution of quantum systems using the Schrodinger, Heisenberg and interaction pictures will be covered. Basics of quantum statistical mechanics for distinguishable particles, bosons, and fermions will be covered. A brief overview of density matrix approach and quantum systems interacting with the environment will be given.
 
The second part of the course is an introduction to scalar quantum field theory. The Feynman diagram technique for perturbation theory is developed and applied to the scattering of relativistic particles. Renormalization is briefly discussed.

This is a theoretical physics course that aims to review the basics of theoretical mechanics, special relativity and classical field theory, with the emphasis on geometrical notions and relativistic formalism.

In the first edition of the meeting, CATMIN (Cold ATom Molecule INteractions) was a new satellite meeting of ICPEAC devoted to the study of atomic and molecular systems, where long-range interactions and the extreme properties of highly excited electrons produce new physics and lead to new technologies. CATMIN's objective is to strengthen the links between cold atom physics, molecular physics, chemistry and condensed matter physics, so that new concepts and breakthroughs can emerge. Ions, atoms and molecules are naturally made quantum systems that can be controlled with light and low frequency electromagnetic fields, thus lending themselves to precision investigations and use in quantum technologies. The second CATMIN conference will be held a few days before the ICAP, which is a major conference in AMO physics, with the idea that scientists can attend both meetings. The CATMIN meeting will be a two-day conference held at the Perimeter Institute in Waterloo, ON, centered on Rydberg-atom physics, cold ion physics and the interplay between these experimental platforms. Rydberg atom physics is experiencing a renaissance due to the application of the exaggerated properties of highly excited atoms for quantum information and quantum simulation. Rydberg states can even be observed in solids which is a subject of increasing interest. Cold ions, similarly, are exciting for quantum simulation and computing, becoming one of the central platforms in the race to build a quantum computer. Many exciting developments are also in progress in the area of cold-molecules. Long-range interactions open up fields of research such as the photo-association of cold atoms to form ultra-cold molecules, and the excitation of Rydberg molecules demonstrating novel kinds of molecular bonding. Strong long-range interactions in all the systems permit the investigation of the few-body and many-body regimes, including the few- to many-body transition. The conference aims to share the latest developments and results in these exciting fields among the various ICAP communities as well as the broader physics and chemistry communities. Overall, the conference can forward quantum science and the application of quantum science, which furthers these fields of research by concentrating interest to attract people and resources to the field.

Sponsorship for this event has been provided by:

https://pirsa.org/C22028

Perimeter Institute will make every effort to host the conference as an in-person event.  However, we reserve the right to change to an online program to align with changes in regulations due to the COVID-19 pandemic.

 

Territorial Land Acknowledgement

Perimeter Institute acknowledges that it is situated on the traditional territory of the Anishinaabe, Haudenosaunee, and Neutral peoples.

Perimeter Institute is located on the Haldimand Tract. After the American Revolution, the tract was granted by the British to the Six Nations of the Grand River and the Mississaugas of the Credit First Nation as compensation for their role in the war and for the loss of their traditional lands in upstate New York. Of the 950,000 acres granted to the Haudenosaunee, less than 5 percent remains Six Nations land. Only 6,100 acres remain Mississaugas of the Credit land. 

We thank the Anishinaabe, Haudenosaunee, and Neutral peoples for hosting us on their land.

Topics will include (but are not limited to): - Quantum error correction in quantum gravity and condensed matter - Quantum information scrambling and black hole information - Physics of random tensor networks and random unitary circuits

Topics will include (but are not limited to): Canonical formulation of constrained systems, The Dirac program, First order formalism of gravity, Loop Quantum Gravity, Spinfoam models, Research at PI and other approaches to quantum gravity.

This course is designed to introduce modern machine learning techniques for studying classical and quantum many-body problems encountered in condensed matter, quantum information, and related fields of physics. Lectures will focus on introducing machine learning algorithms and discussing how they can be applied to solve problem in statistical physics. Tutorials and homework assignments will concentrate on developing programming skills to study the problems presented in lecture.