Learning from dynamics in analogue quantum simulators

PhD defence by Bhavik Kumar

Assessment Committee

Professor Søren Fournais, Math, University of Copenhagen (Chairperson)
Professor Annabelle Bohrdt, LMU Münich
Associate professor Andreas Nunnenkamp, University of Vienna

Supervisors

Professor Henrik Laurberg Pedersen
Assistant Professor Daniel Hendrik Malz

Department

Department of Mathematical Sciences

Place

The defence is conducted as a hybrid defence.

To attend the defence in person:
Building: Hans Christian Ørsted Building, Room: Aud 04, Universitetsparken 5, 2100, Copenhagen

To attend the defence online:
Please follow the link to attend the defence online: https://ucph-ku.zoom.us/j/6819075768?pwd=36bkEqWszDbSf1xxTERnPEYtFnXmvy.1
MeetingID, if relevant: 681 907 5768

Email address to gain access to the thesis: bhku@math.ku.dk.
You will either receive a copy of the thesis or be informed where you can read a physical copy.
Recipients of copies of the thesis are not allowed to share or distribute it due to copyright compliance.

Short description of the thesis

Analogue quantum simulators use controllable quantum systems to mimic and study complex quantum phenomena that are difficult to simulate on classical computers. As these experiments grow in size and complexity, an important challenge is to verify that the intended physics is realized and to extract useful information despite limited site-resolved control and restricted measurement bases. This thesis develops protocols that use the native dynamics of the simulator to address both problems. First, we reconstruct spatially varying potentials in cold-atom optical lattices from time-resolved density snapshots, providing a sample and computationally efficient calibration method. Second, we develop Hamiltonian-driven shadow tomography using global fluctuating fields, allowing many local properties to be efficiently estimated using only global control and standard measurements, including correlation functions that are not directly accessible with quantum gas microscopes.