Acquire knowledge of the physics of laser systems and the description of the electromagnetic field in second quantization, with particular emphasis on phenomenological aspects.
Curriculum
teacher profile teaching materials
Optical coherence and quantisation of the e.m. field: classical theory of fluctuations, first- and second-order coherence. E.m. field as a harmonic oscillator, quantisation and quantum theory of optical coherence. Number states, coherent states, and thermal states. Interaction picture: beam splitter and squeezing hamiltonians. Homodyne detection and photon counting. Quasi-probability distributions.
Non-linear optics: introduction and classical treatment. Brief sketching of the quantum treatment. Second-order non-linear effects: second-harmonic generation, sum- and difference-frequency generation, parametric down conversion. Third-order effects: optical Kerr effect and self-phase modulation, filamentation. Nonlinear Schroedinger equation and temporal solitons.
Quantum correlations: local realism and EPR-Bohm paradox. Bell's inequality, and its optical test.
O. Svelto, Principles of lasers. Chap 1-9
R. Boyd, Nonlinear optics. Chap. 1, 2, 7
J.S. Bell, Speakable and unspeakable in quantum mechanics. Chap. 2
Programme
The physics of laser: blackbody radiation, Einstein equation, interaction of light with a two-level atom, gain and attenuation. Optical transitions in semiconductors. CW and pulsed operation of a laser.Optical coherence and quantisation of the e.m. field: classical theory of fluctuations, first- and second-order coherence. E.m. field as a harmonic oscillator, quantisation and quantum theory of optical coherence. Number states, coherent states, and thermal states. Interaction picture: beam splitter and squeezing hamiltonians. Homodyne detection and photon counting. Quasi-probability distributions.
Non-linear optics: introduction and classical treatment. Brief sketching of the quantum treatment. Second-order non-linear effects: second-harmonic generation, sum- and difference-frequency generation, parametric down conversion. Third-order effects: optical Kerr effect and self-phase modulation, filamentation. Nonlinear Schroedinger equation and temporal solitons.
Quantum correlations: local realism and EPR-Bohm paradox. Bell's inequality, and its optical test.
Core Documentation
R. Loudon, The quantum theory of light. Chap. 1-6O. Svelto, Principles of lasers. Chap 1-9
R. Boyd, Nonlinear optics. Chap. 1, 2, 7
J.S. Bell, Speakable and unspeakable in quantum mechanics. Chap. 2
Type of delivery of the course
The course consists of a series of frontal lectures, with the teacher illustrating specific themes within the topic of quantum electronics and quantum optics.Attendance
Students are not demanded to attend the lectures.Type of evaluation
Final oral examination: the Panel will evaluate the knowledge of the subject, the clarity of their presentation, and the ability of the students to find connections between the different parts of the course. The Panel will select a first question to the candidate, and then it will proceed asking further questions to evaluate the ability to reason based on the elements of the course. teacher profile teaching materials
Optical coherence and quantisation of the e.m. field: classical theory of fluctuations, first- and second-order coherence. E.m. field as a harmonic oscillator, quantisation and quantum theory of optical coherence. Number states, coherent states, and thermal states. Interaction picture: beam splitter and squeezing hamiltonians. Homodyne detection and photon counting. Quasi-probability distributions.
Non-linear optics: introduction and classical treatment. Brief sketching of the quantum treatment. Second-order non-linear effects: second-harmonic generation, sum- and difference-frequency generation, parametric down conversion. Third-order effects: optical Kerr effect and self-phase modulation, filamentation. Nonlinear Schroedinger equation and temporal solitons.
Quantum correlations: local realism and EPR-Bohm paradox. Bell's inequality, and its optical test.
O. Svelto, Principles of lasers. Chap 1-9
R. Boyd, Nonlinear optics. Chap. 1, 2, 7
J.S. Bell, Speakable and unspeakable in quantum mechanics. Chap. 2
Programme
The physics of laser: blackbody radiation, Einstein equation, interaction of light with a two-level atom, gain and attenuation. Optical transitions in semiconductors. CW and pulsed operation of a laser.Optical coherence and quantisation of the e.m. field: classical theory of fluctuations, first- and second-order coherence. E.m. field as a harmonic oscillator, quantisation and quantum theory of optical coherence. Number states, coherent states, and thermal states. Interaction picture: beam splitter and squeezing hamiltonians. Homodyne detection and photon counting. Quasi-probability distributions.
Non-linear optics: introduction and classical treatment. Brief sketching of the quantum treatment. Second-order non-linear effects: second-harmonic generation, sum- and difference-frequency generation, parametric down conversion. Third-order effects: optical Kerr effect and self-phase modulation, filamentation. Nonlinear Schroedinger equation and temporal solitons.
Quantum correlations: local realism and EPR-Bohm paradox. Bell's inequality, and its optical test.
Core Documentation
R. Loudon, The quantum theory of light. Chap. 1-6O. Svelto, Principles of lasers. Chap 1-9
R. Boyd, Nonlinear optics. Chap. 1, 2, 7
J.S. Bell, Speakable and unspeakable in quantum mechanics. Chap. 2
Type of delivery of the course
The course consists of a series of frontal lectures, with the teacher illustrating specific themes within the topic of quantum electronics and quantum optics.Attendance
Students are not demanded to attend the lectures.Type of evaluation
Final oral examination: the Panel will evaluate the knowledge of the subject, the clarity of their presentation, and the ability of the students to find connections between the different parts of the course. The Panel will select a first question to the candidate, and then it will proceed asking further questions to evaluate the ability to reason based on the elements of the course. teacher profile teaching materials
Optical coherence and quantisation of the e.m. field: classical theory of fluctuations, first- and second-order coherence. E.m. field as a harmonic oscillator, quantisation and quantum theory of optical coherence. Number states, coherent states, and thermal states. Interaction picture: beam splitter and squeezing hamiltonians. Homodyne detection and photon counting. Quasi-probability distributions.
Non-linear optics: introduction and classical treatment. Brief sketching of the quantum treatment. Second-order non-linear effects: second-harmonic generation, sum- and difference-frequency generation, parametric down conversion. Third-order effects: optical Kerr effect and self-phase modulation, filamentation. Nonlinear Schroedinger equation and temporal solitons.
Quantum correlations: local realism and EPR-Bohm paradox. Bell's inequality, and its optical test.
O. Svelto, Principles of lasers. Chap 1-9
R. Boyd, Nonlinear optics. Chap. 1, 2, 7
J.S. Bell, Speakable and unspeakable in quantum mechanics. Chap. 2
Programme
The physics of laser: blackbody radiation, Einstein equation, interaction of light with a two-level atom, gain and attenuation. Optical transitions in semiconductors. CW and pulsed operation of a laser.Optical coherence and quantisation of the e.m. field: classical theory of fluctuations, first- and second-order coherence. E.m. field as a harmonic oscillator, quantisation and quantum theory of optical coherence. Number states, coherent states, and thermal states. Interaction picture: beam splitter and squeezing hamiltonians. Homodyne detection and photon counting. Quasi-probability distributions.
Non-linear optics: introduction and classical treatment. Brief sketching of the quantum treatment. Second-order non-linear effects: second-harmonic generation, sum- and difference-frequency generation, parametric down conversion. Third-order effects: optical Kerr effect and self-phase modulation, filamentation. Nonlinear Schroedinger equation and temporal solitons.
Quantum correlations: local realism and EPR-Bohm paradox. Bell's inequality, and its optical test.
Core Documentation
R. Loudon, The quantum theory of light. Chap. 1-6O. Svelto, Principles of lasers. Chap 1-9
R. Boyd, Nonlinear optics. Chap. 1, 2, 7
J.S. Bell, Speakable and unspeakable in quantum mechanics. Chap. 2
Type of delivery of the course
The course consists of a series of frontal lectures, with the teacher illustrating specific themes within the topic of quantum electronics and quantum optics.Attendance
Students are not demanded to attend the lectures.Type of evaluation
Final oral examination: the Panel will evaluate the knowledge of the subject, the clarity of their presentation, and the ability of the students to find connections between the different parts of the course. The Panel will select a first question to the candidate, and then it will proceed asking further questions to evaluate the ability to reason based on the elements of the course. teacher profile teaching materials
Optical coherence and quantisation of the e.m. field: classical theory of fluctuations, first- and second-order coherence. E.m. field as a harmonic oscillator, quantisation and quantum theory of optical coherence. Number states, coherent states, and thermal states. Interaction picture: beam splitter and squeezing hamiltonians. Homodyne detection and photon counting. Quasi-probability distributions.
Non-linear optics: introduction and classical treatment. Brief sketching of the quantum treatment. Second-order non-linear effects: second-harmonic generation, sum- and difference-frequency generation, parametric down conversion. Third-order effects: optical Kerr effect and self-phase modulation, filamentation. Nonlinear Schroedinger equation and temporal solitons.
Quantum correlations: local realism and EPR-Bohm paradox. Bell's inequality, and its optical test.
O. Svelto, Principles of lasers. Chap 1-9
R. Boyd, Nonlinear optics. Chap. 1, 2, 7
J.S. Bell, Speakable and unspeakable in quantum mechanics. Chap. 2
Programme
The physics of laser: blackbody radiation, Einstein equation, interaction of light with a two-level atom, gain and attenuation. Optical transitions in semiconductors. CW and pulsed operation of a laser.Optical coherence and quantisation of the e.m. field: classical theory of fluctuations, first- and second-order coherence. E.m. field as a harmonic oscillator, quantisation and quantum theory of optical coherence. Number states, coherent states, and thermal states. Interaction picture: beam splitter and squeezing hamiltonians. Homodyne detection and photon counting. Quasi-probability distributions.
Non-linear optics: introduction and classical treatment. Brief sketching of the quantum treatment. Second-order non-linear effects: second-harmonic generation, sum- and difference-frequency generation, parametric down conversion. Third-order effects: optical Kerr effect and self-phase modulation, filamentation. Nonlinear Schroedinger equation and temporal solitons.
Quantum correlations: local realism and EPR-Bohm paradox. Bell's inequality, and its optical test.
Core Documentation
R. Loudon, The quantum theory of light. Chap. 1-6O. Svelto, Principles of lasers. Chap 1-9
R. Boyd, Nonlinear optics. Chap. 1, 2, 7
J.S. Bell, Speakable and unspeakable in quantum mechanics. Chap. 2
Type of delivery of the course
The course consists of a series of frontal lectures, with the teacher illustrating specific themes within the topic of quantum electronics and quantum optics.Attendance
Students are not demanded to attend the lectures.Type of evaluation
Final oral examination: the Panel will evaluate the knowledge of the subject, the clarity of their presentation, and the ability of the students to find connections between the different parts of the course. The Panel will select a first question to the candidate, and then it will proceed asking further questions to evaluate the ability to reason based on the elements of the course. teacher profile teaching materials
Optical coherence and quantisation of the e.m. field: classical theory of fluctuations, first- and second-order coherence. E.m. field as a harmonic oscillator, quantisation and quantum theory of optical coherence. Number states, coherent states, and thermal states. Interaction picture: beam splitter and squeezing hamiltonians. Homodyne detection and photon counting. Quasi-probability distributions.
Non-linear optics: introduction and classical treatment. Brief sketching of the quantum treatment. Second-order non-linear effects: second-harmonic generation, sum- and difference-frequency generation, parametric down conversion. Third-order effects: optical Kerr effect and self-phase modulation, filamentation. Nonlinear Schroedinger equation and temporal solitons.
Quantum correlations: local realism and EPR-Bohm paradox. Bell's inequality, and its optical test.
O. Svelto, Principles of lasers. Chap 1-9
R. Boyd, Nonlinear optics. Chap. 1, 2, 7
J.S. Bell, Speakable and unspeakable in quantum mechanics. Chap. 2
Programme
The physics of laser: blackbody radiation, Einstein equation, interaction of light with a two-level atom, gain and attenuation. Optical transitions in semiconductors. CW and pulsed operation of a laser.Optical coherence and quantisation of the e.m. field: classical theory of fluctuations, first- and second-order coherence. E.m. field as a harmonic oscillator, quantisation and quantum theory of optical coherence. Number states, coherent states, and thermal states. Interaction picture: beam splitter and squeezing hamiltonians. Homodyne detection and photon counting. Quasi-probability distributions.
Non-linear optics: introduction and classical treatment. Brief sketching of the quantum treatment. Second-order non-linear effects: second-harmonic generation, sum- and difference-frequency generation, parametric down conversion. Third-order effects: optical Kerr effect and self-phase modulation, filamentation. Nonlinear Schroedinger equation and temporal solitons.
Quantum correlations: local realism and EPR-Bohm paradox. Bell's inequality, and its optical test.
Core Documentation
R. Loudon, The quantum theory of light. Chap. 1-6O. Svelto, Principles of lasers. Chap 1-9
R. Boyd, Nonlinear optics. Chap. 1, 2, 7
J.S. Bell, Speakable and unspeakable in quantum mechanics. Chap. 2
Type of delivery of the course
The course consists of a series of frontal lectures, with the teacher illustrating specific themes within the topic of quantum electronics and quantum optics.Attendance
Students are not demanded to attend the lectures.Type of evaluation
Final oral examination: the Panel will evaluate the knowledge of the subject, the clarity of their presentation, and the ability of the students to find connections between the different parts of the course. The Panel will select a first question to the candidate, and then it will proceed asking further questions to evaluate the ability to reason based on the elements of the course.