The time-dependent Schrödinger equation is broadly accepted as a fundamental equation of quantum mechanics. It might therefore come as a surprise that in quantum cosmology, time is well accepted as an emergent phenomenon. Even in non-relativistic quantum mechanics, the time-dependent Schrödinger equation can be viewed as an approximate semiclassical equation derivable from the time-independent Schrödinger equation. In this lecture, we will briefly introduce the topic of the emergence of time in time-independent non-relativistic quantum mechanics and discuss how this topic is connected to the physics of open quantum systems. Then we will dive into the author’s present attempts to translate the physics of time-emergence onto finite systems of qubits. We will show, how discrete quantum mechanics can be constructed on a system of strongly interacting qubits. In this version of quantum mechanics, a small subsystem of qubits follows a discrete version of the time-dependent Schrödinger equation, where the time-like parameter is constructed from the spatial parameters of the qubit system. We will discuss the prospects and pitfalls of both the theoretical (computational) and experimental realizations of the presented ideas.

# Seminar on Condensed Matter Theory

Group of Theoretical Physics organizes a regular seminar on theory of condensed matter physics. Usually, we meet

every Thursdays at 13:00in seminar room F 052Ke Karlovu 5, 121 16 Praha 2 |

**You are welcome to join us!**

If you wish to receive regular updates on fothcoming seminars, contact K. Carva.

# Next seminar

## Friday __1 October 2021__ at __13:00__ in __Seminar room F052__

Contact K. Carva for the online access information.

Institute of Physics, FMP CU

Simulating emergence of time in quantum mechanics by strongly coupled qubits

Note that seminar will take place on Friday

# Forthcoming seminars

- 1 October 2021
- 13:00
**doc. Mgr. Tomáš Mančal, Ph.D.**(Seminar room F052)*Simulating emergence of time in quantum mechanics by strongly coupled qubits*

Note that seminar will take place on Friday - 14 October 2021
- 13:00
**Mgr. et Mgr. Libor Šmejkal, Ph.D.**(Seminar room F052)*Spin group theory of collinear magnets* - 21 October 2021
- 13:00
**Ing. Dominik Legut, Ph.D.**(Seminar room F052)*Lattice vibrations and trimeron order of the Verwey transition in magnetite*

- See the list of all seminars.