The focus of our research is theoretical aspects of strongly correlated many-body systems and their applications in quantum technologies.
The underlying projects are mainly based on numerical simulations using Density Matrix Renormalization Group and novel machine learning techniques such as neural networks and Bayesian estimators.
The subjects of interest are as following:

Quantum Sensing:

One of the most important aspects of quantum technologies is quantum sensing and metrology. Quantum sensors can measure electric, magnetic and gravitational fields with unprecedented precision which provides huge industrial implications in mining, urban infra-structure maintenance, space technologies and the list goes on. Entanglement is known to provide quantum enhanced sensing beyond standard limit. In our group, we are focused on using the naturally available entanglement in many-body systems for sensing purposes.

Quantum Simulators:

Quantum technologies are expected to revolutionise many aspects of our lives from computers to communication networks. However, due to exponential scaling of the Hilbert space the behaviour of a general quantum system can only be simulated classically for small system sizes. To go beyond small systems, as suggested by Richard Feynman, the only solution is to use one quantum system to simulate another. In fact, one of the near-term developments of quantum technologies is “quantum simulators” which are already available in various physical systems, including , ultra-cold atoms, trapped ions, superconducting qubits and dopants in silicon. A quantum simulator is a group of quantum particles with highly tuneable interactions which can be used to emulate another quantum system with greater complexity and less controllability. In our group, we are focused on two different approaches: (i) Certification of quantum simulators as neither classical simulation nor quantum state tomography can verify the validity of their outcomes; (ii) Finding new applications for near-term noisy quantum simulators for which the error correction is still not available.

Non-Equilibrium Dynamics of Many-Body System:

The time evolution of a many-body system provides a rich arena for studying fundamental and practical aspects of quantum physics. In particular, in our group we are interested in exploring different phases of matter and their entanglement properties as well as their ability for quantum state transfer, long-distance entanglement generation via their time evolution. Moreover, scrambling of information and the thermodynamics of many-body systems are also at the heart of our interest.

Many-Body Localization:

Many-Body Localization (MBL) is the reminiscent of Anderson localization in interacting systems. The importance of MBL, which has attracted a lot of attention in recent years, comes from the fact that it challenges the very foundations of quantum statistical physics, leading to striking theoretical and experimental consequences such as breaking both: (i) ergodicity; and (ii) eigenstate thermalisation hypothesis and thus absence of thermalisation. In our group we are mainly interested to explore MBL using quantum information tools, such as entanglement. In particular, we are interested to find out the the properties of the MBL systems near the transition point from an ergodic to MBL phase.