Quantum Matter

Many-body interacting systems cannot generally be treated with analytical tools alone, making numerical methods essential for studying strongly correlated phases. In fractional quantum Hall systems, conformal field theory correlators provide a way to construct exact matrix product state…

Fuzzy sphere models conjecturally realize 3d CFTs in small systems of spinful fermions, but why they work so well is still not fully understood. Their Hamiltonians are built from electron density operators projected to the lowest Landau level. In this talk I will discuss the algebra generated by…

Fermi surfaces have a number of fascinating properties, including a continuum of gapless excitations, a landscape of possible collective modes, universal super-area law entanglement, and relevant deformations that can produce non-Fermi liquid quantum critical metals. Their extreme gaplessness makes…

The study of entanglement in the ground states of locally interacting many-body quantum systems has provided connections between spectral properties and the computational resources required for tensor-network calculations. Generic quantum states have volume-law entanglement, but ground states are…

Entanglement provides a powerful framework for characterizing quantum phases. The reduced density matrix (RDM) of a local region is known to encode non-trivial information about the phase of matter, as demonstrated by topological entanglement entropy and the Li-Haldane conjecture. We argue that this…

Entanglement bootstrap (EB) is a framework that aims to explain all the universal properties of quantum phases of matter from entanglement conditions. In this seminar, I will talk about our efforts in building such an EB framework for 2+1D chiral gapped phases. Many interesting properties that do…

Gapped phases without symmetry are largely characterized by the fusion and statistics of their fractionalized quasiparticles. This is best understood for 2D topological phases. An important constraint on statistical data in this case is the principle of remote detectability, which implies that any…

In this talk, I will introduce magic-augmented Clifford circuits -- architectures in which Clifford circuits are preceded and/or followed by constant-depth circuits of non-Clifford (``magic") gates -- as a resource-efficient way to realize approximate k-designs. We prove that shallow Clifford…

In this talk, I will discuss the projects I have done in my Ph.D. https://scholar.google.com/citations?user=SiMLZi8AAAAJ&hl=en. My research lies at the intersection of quantum many-body physics and quantum information, aiming to unravel the intrinsic complexity of many-body dynamics using both…

The topology of crystalline insulators and superconductors is characterized by established momentum-space invariants such as the Chern number. In amorphous and other disordered systems, however, momentum is no longer a good quantum number, and recent observations of topological edge states in…

I will talk about the 1D quantum breakdown model in boson and spin systems, which has an exponential U(1) symmetry with charge decaying exponentially in space. We show that the ground state of the model exhibits a phase transition from a symmetric paramagnetic phase to a quantum breakdown condensate…

Preparation of thermal and ground states of many-body systems is a central challenge for quantum processors, needed e.g. as the starting point for many quantum physics experiments or for quantum chemistry applications. In this talk, I will discuss recent work on efficient state preparation using…