Our research focuses on computational approaches to quantum condensed matter systems, with emphasis on disorder, interactions, and non-equilibrium dynamics. We study quantum phase transitions and emergent many-body phenomena, including many-body localization, multifractality, Griffiths effects, thermalization, and non-Hermitian phases.
Our work can be found here: Google Scholar or arXiv.
Research Topics
Many-body localization
A regime where disorder prevents thermalization even in interacting quantum systems, leading to retaining of memory of initial conditions. This phase is characterized by emergent local integrals of motion and slow entanglement growth, along with no transport.
- Many-body localization characterized from a one-particle perspective (2015), PRL 115, 046603
- Fock space fragmentation in quenches of disordered interacting fermions (2025), arXiv: 2510.19510
Dynamical phase transitions
Non-equilibrium transitions characterized by singular behavior in time-evolved quantities following a quantum quench. These are often captured via Loschmidt echo rate functions and dynamical order parameters.
- Distinguishing dynamical quantum criticality through local fidelity distances (2024), PRB 109, 214313
Topological Anderson insulators
Topological Anderson insulators are phases where disorder induces topological order rather than destroying it. They host robust edge states even in strongly disordered regimes. These systems reveal the nontrivial role of randomness in generating and stabilizing topology.
- Disorder-induced delocalization and reentrance in a Hopf-Chern insulator (2025), PRB 111, 184202
Quantum Hall physics
A prototypical topological phase exhibiting quantized Hall conductance and robust chiral edge modes. At the quantum Hall transition, wavefunctions are multifractal, reflecting scale-invariant fluctuations between localized and extended states. We study how disorder and interactions modify this critical behavior.
- Quantum Hall criticality in an amorphous Chern insulator (2024), PRB 109, 174213 s
Dissipative / non-Hermitian phases
We investigate open quantum systems using the spin-boson model and circuit QED realizations, including transmon qubits coupled to bosonic baths. We analyze their non-equilibrium dynamics, spectral properties, and emergent steady states.
- Spin-Boson quantum phase transition in multilevel superconducting qubits (2021), PRL 127, 237702
