170 citations · 1.4k across the 25 of their papers we have counts for
25 papers
Topological Modes in Monitored Quantum Dynamics
Haining Pan, Hassan Shapourian, Chao-Ming Jian
Dynamical quantum systems both driven by unitary evolutions and monitored through measurements have proved to be fertile ground for exploring new dynamical quantum matters. While t…
Measurement-induced entanglement transitions in quantum circuits of non-interacting fermions: Born-rule versus forced measurements
Chao-Ming Jian, Hassan Shapourian, Bela Bauer +1
We address entanglement transitions in monitored random quantum circuits of non-interacting fermions, in particular, the question of whether Born-rule and forced measurements yield…
Symmetry protected entanglement in random mixed states
Kasra Hejazi, Hassan Shapourian
Symmetry is an important property of quantum mechanical systems which may dramatically influence their behavior in and out of equilibrium. In this paper, we study the effect of sym…
Mixed-state entanglement and information recovery in thermalized states and evaporating black holes
Shreya Vardhan, Jonah Kudler-Flam, Hassan Shapourian +1
We study the universal behavior of quantum information-theoretic quantities in thermalized isolated quantum many-body systems and evaporating black holes. In particular, we study a…
Bound entanglement in thermalized states and black hole radiation
Shreya Vardhan, Jonah Kudler-Flam, Hassan Shapourian +1
We study the mixed-state entanglement structure of chaotic quantum many-body systems at late times using the recently developed . A rich entangl…
Magnetic impurities at quantum critical points: large- expansion and SPT connections
Shang Liu, Hassan Shapourian, Ashvin Vishwanath +1
In symmetry protected topological (SPT) phases, the combination of symmetries and a bulk gap stabilizes protected modes at surfaces or at topological defects. Understanding the fat…
Gauging anomalous unitary operators
Yuhan Liu, Hassan Shapourian, Paolo Glorioso +1
Boundary theories of static bulk topological phases of matter are obstructed in the sense that they cannot be realized on their own as isolated systems. The obstruction can be quan…
Anyonic Partial Transpose I: Quantum Information Aspects
Hassan Shapourian, Roger S. K. Mong, Shinsei Ryu
A basic diagnostic of entanglement in mixed quantum states is known as the partial transpose and the corresponding entanglement measure is called the logarithmic negativity. Despit…
Entanglement negativity spectrum of random mixed states: A diagrammatic approach
Hassan Shapourian, Shang Liu, Jonah Kudler-Flam +1
The entanglement properties of random pure states are relevant to a variety of problems ranging from chaotic quantum dynamics to black hole physics. The averaged bipartite entangle…
Andreev reflection in the fractional quantum Hall state
Önder Gül, Yuval Ronen, Si Young Lee +8
We construct high-quality graphene-based van der Waals devices with narrow superconducting niobium nitride (NbN) electrodes, in which superconductivity and robust fqH coexist. We f…
The negativity contour: a quasi-local measure of entanglement for mixed states
Jonah Kudler-Flam, Hassan Shapourian, Shinsei Ryu
In this paper, we study the entanglement structure of mixed states in quantum many-body systems using the , a local measure of entanglement that determ…
Twisted and untwisted negativity spectrum of free fermions
Hassan Shapourian, Paola Ruggiero, Shinsei Ryu +1
A basic diagnostic of entanglement in mixed quantum states is known as the positive partial transpose (PT) criterion. Such criterion is based on the observation that the spectrum o…
Multiple topological transitions in twisted bilayer graphene near the first magic angle
Kasra Hejazi, Chunxiao Liu, Hassan Shapourian +2
Recent experiments have observed strongly correlated physics in twisted bilayer graphene (TBG) at very small angles, along with nearly flat electron bands at certain fillings. A go…
Finite-temperature entanglement negativity of free fermions
Hassan Shapourian, Shinsei Ryu
The entanglement entropy of free fermions with a Fermi surface is known to obey a logarithmic scaling and violate the area law in all dimensions. Here, we would like to see how tem…
Entanglement negativity of fermions: monotonicity, separability criterion, and classification of few-mode states
Hassan Shapourian, Shinsei Ryu
We study quantum information aspects of the fermionic entanglement negativity recently introduced in [Phys. Rev. B 95, 165101 (2017)] based on the fermionic partial transpose. In p…
Topological crystalline superconductivity and second-order topological superconductivity in nodal-loop materials
Hassan Shapourian, Yuxuan Wang, Shinsei Ryu
We study the intrinsic fully-gapped odd-parity superconducting order in doped nodal-loop materials with a torus-shaped Fermi surface. We show that the mirror symmetry, which protec…
Many-body topological invariants for fermionic short-range entangled topological phases protected by antiunitary symmetries
Ken Shiozaki, Hassan Shapourian, Kiyonori Gomi +1
We present a fully many-body formulation of topological invariants for various topological phases of fermions protected by antiunitary symmetry, which does not refer to single part…
Partial time-reversal transformation and entanglement negativity in fermionic systems
Hassan Shapourian, Ken Shiozaki, Shinsei Ryu
The partial transpose of density matrices in many-body quantum systems, in which one takes the transpose only for a subsystem of the full Hilbert space, has been recognized as a us…
Many-body topological invariants in fermionic symmetry protected topological phases: Cases of point group symmetries
Ken Shiozaki, Hassan Shapourian, Shinsei Ryu
We propose the definitions of many-body topological invariants to detect symmetry-protected topological phases protected by point group symmetry, using partial point group transfor…
Dynamical renormalization group approach to the spin-boson model
Hassan Shapourian
We develop a semi-analytical approach beyond the Born-Markov approximation to study the quench dynamics of the spin-boson model in the strong-coupling regime () for the O…
Many-body topological invariants for fermionic symmetry-protected topological phases
Hassan Shapourian, Ken Shiozaki, Shinsei Ryu
We define and compute many-body topological invariants of interacting fermionic symmetry-protected topological phases, protected by an orientation-reversing symmetry, such as time-…
Fock space localization of polaritons in the Jaynes-Cummings dimer model
Hassan Shapourian, Darius Sadri
We present a new method to study the semiclassical dynamics of the Jaynes-Cummings dimer model, describing two coupled cavities each containing a two-level system (qubit). We devel…
Phase diagrams of disordered Weyl semimetals
Hassan Shapourian, Taylor L. Hughes
Weyl semimetals are gapless quasi-topological materials with a set of isolated nodal points forming their Fermi surface. They manifest their quasi-topological character in a series…
Viscoelastic response of topological tight-binding models in two and three dimensions
Hassan Shapourian, Taylor L. Hughes, Shinsei Ryu
The topological response to external perturbations is an effective probe to characterize different topological phases of matter. Besides the Hall conductance, the Hall viscosity is…