__Quantum information in curved spacetime__

**(NTMF095,
summer term 2023/24****)**

Lecturer:
David Kubiznak (david.kubiznak@matfyz.cuni.cz)

Institute
of Theoretical Physics, MFF UK

Dotation: 2/0, oral exam

**Description **

In this course we
shall study some fascinating phenomena that arise when the fields of general
relativity, quantum field theory, and quantum information are put together. In
particular, we shall discuss how to locally measure quantum fields in curved
spacetime by using particle Unruh-de Witt (UdW) detectors, and show how such
detectors can be used to uncover global spacetime features. We shall also
review the Unruh effect, study entanglement harvesting, discuss quantum energy
teleportation, and more. For PhD and Mgr. students – basic knowledge of general
relativity and quantum theory is required.

**Preliminary topics **

·
Measuring quantum fields: UDW detectors

·
Unruh effect: Gibbs, KMS condition, detailed
balance

·
Analogue spacetimes

·
Quantum detection of spacetime features

·
Entanglement harvesting

·
Quantum collect calling

·
Quantum energy teleportation

**Exam**

·
List
of exam questions (please prepare & send me an email)

**Additional reading**

·
ArXiv
papers.

**Lectures**

·
**Lecture 1**: Unruh
de Witt (UdW) detector

·
**Lecture 2**: Unruh
effect part 1: standard derivation

·
**Lecture 3**: Unruh
effect part 2: KMS condition, detailed balance, thermalization of UdW detector

·
**Lecture 4**: Unruh
effect part 3: circular trajectory, Hawking effect

·
**Lecture 5**: First
look at analogue spacetimes

·
**Lecture 6**:
Superradiance in analogue spacetimes

·
**Lecture 7**:
Entanglement harvesting, Structure of spacetime from quantum vacuum,
Entanglement farming

·
**Lecture 8**:
Spacetime from quantum fields, Quantum communication

·
**Lecture 9**:
Echoes from Early Universe, A few words about thermodynamics

·
**Lecture 10**:
Quantum energy teleportation, warping the fabrics of a spacetime