Description and contextualization of the subject

Esta asignatura abarca conceptos fundamentales y avanzados de óptica cuántica y su relevancia en la información y tecnologías cuánticas. Se comienza con una visión general de la cuantización de campos, centrándose en campos de modo único, fluctuaciones del vacío y espacio de fases. Se introducen los sistemas cuánticos de dos niveles, incluyendo la Aproximación de Onda Rotante, modelos semiclásicos, oscilaciones de Rabi, el Efecto Stark AC y las transiciones de Landau-Zener. Se examina la interacción entre la luz y la materia a través del modelo de Jaynes-Cummings. Además, se aborda la interferometría y los elementos ópticos, cubriendo la teoría de divisores de haz, fuentes de luz, polarizadores y experimentos clave como el interferómetro de Michelson y el efecto Hong-Ou-Mandel. Finalmente, se introducen los sistemas cuánticos abiertos y la decoherencia, discutiendo la ecuación maestra, las fuentes de ruido y las implicaciones de la decoherencia para la escalabilidad de las tecnologías cuánticas.

Learning outcomes of the subject

Knowledge or content:

RCO1. Demonstrate the ability to explain the fundamental principles of the quantum world, both at a basic and technical level.

RCO2. Have a basic knowledge of the relevant literature in quantum mechanics and be capable of effectively reading and understanding research articles.

RCO3. Be able to initiate the development of original ideas and applications within the context of quantum physics research.

RCO4. Possess the capacity for independent research, synthesis, and be able to present in a clear and structured way complex issues related to the various areas of quantum mechanics addressed in this Master¿s program.

RCO5. Under supervision, demonstrate the ability to write and defend original work that meets the quality standards required for publication in high-impact indexed journals.

RCO6. Be able to identify opportunities for innovation and technology transfer in the field of quantum science and technology.

RCO12. Know the basic literature and demonstrate the ability to solve standard problems in the field of Quantum Technologies.







Competencies:

RC1. Possess and understand knowledge that provides a basis or opportunity for developing and/or applying original ideas, often in a research context.

RC2. Apply acquired knowledge and problem-solving skills in new or unfamiliar environments within broader (or multidisciplinary) contexts related to their field of study.

RC3. Demonstrate the ability to integrate knowledge and address the complexity of formulating judgments based on incomplete or limited information, including reflection on social and ethical responsibilities linked to the application of their knowledge and judgments.

RC4. Communicate conclusions, as well as the underlying knowledge and rationale, clearly and unambiguously to both specialized and non-specialized audiences.

RC5. Possess learning skills that enable continued study in a largely self-directed or autonomous manner.



Abilities or skills:



RHE1. Demonstrate proficiency in using tools for bibliographic resource searches.

RHE2. Exhibit critical capacity to read research articles and incorporate their findings into one¿s own work.

RHE3. Write and present original work in one of the official languages and in English.

RHE4. Communicate scientific concepts and results clearly and effectively to both specialized and non-specialized audiences, through presentations and publications.

RHE5. Demonstrate the ability for autonomous learning and staying current with scientific and technological advances.





RHT1. Understand and apply the fundamental principles of quantum mechanics to analyze and solve problems in basic research in quantum science.

RHT2. Understand and apply the fundamental principles of quantum mechanics to analyze and solve problems in quantum technology.

RHT3. Effectively integrate into a fundamental or applied research project involving quantum aspects, and solve problems in multidisciplinary environments.

RHT5. Evaluate and select appropriate tools and techniques for the development of technological applications based on quantum physics.

RHT6. Join a company focused on the development of quantum technologies, contributing both to research and development and to the implementation of new strategies based on the principles of quantum mechanics.

Temary

Introduction. Scope and aim of the course: Quantum Optics as a generic vehicle for quantum information and technologies, brief history.

Field Quantization. Quantisation of a single-mode field, vacuum fluctuations, quadrature operators and phase space, thermal fields, quantum phase.

Two-Level Quantum Systems. Rotating Wave Approximation, semiclassical model, Rabi oscillations, Rabi model, AC Stark Effect, dressed states, adiabatic passage, Landau Zener, sideband cooling.

Light-Matter interaction. Atom¿field interactions, the Jaynes¿Cummings model, The Jaynes¿Cummings model with large detuning: a dispersive interaction.

Interferometry and Optical Elements. Theory of beam splitters, sources of light, SPDC, polarisers, optical fibre, Michelson interferometer, Hanbury-Brown and Twiss, Hong-Ou-Mandel.

Open Quantum Systems and Decoherence. Introduction to master equation, sources of noise, preservation of coherence and decoherence, implications in the scalability of quantum technologies.

Bibliography

Compulsory materials

Basic bibliography

Introductory Quantum Optics by Gerry and Knight (Cambridge)

Quantum Continuous Variables by Alessio Serafini (Taylor and Francis)

Quantum Optics by Fox (Oxford)

Introduction to Quantum Optics by Grynberg, Aspect and Fabre (Cambridge)

In-depth bibliography

Additional material is provided via Egela (other books, articles, news, and auxiliary notes for specific topics).