Hosho Katsura
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View article: Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions
Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions Open
Many magnetic materials are predicted to exhibit bosonic topological edge modes in their excitation spectra, because of the nontrivial topology of their magnon, triplon, or other quasiparticle band structures. However, there is a discrepan…
View article: <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mrow> <mml:mi>S</mml:mi> <mml:mi>U</mml:mi> </mml:mrow> <mml:mo>(</mml:mo> <mml:mn>3</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> Fermi-Hubbard gas with three-body losses: Symmetries and dark states
Fermi-Hubbard gas with three-body losses: Symmetries and dark states Open
We study an S U ( 3 ) -invariant Fermi-Hubbard gas undergoing on-site three-body losses. The model presents eight independent strong symmetries preventing the complete depletion of the gas. By making use of a basis of semistandard Yo…
View article: Systematic construction of asymptotic quantum many-body scar states and their relation to supersymmetric quantum mechanics
Systematic construction of asymptotic quantum many-body scar states and their relation to supersymmetric quantum mechanics Open
We develop a systematic method for constructing asymptotic quantum many-body scar (AQMBS) states. While AQMBS states are closely related to quantum many-body scar (QMBS) states, they exhibit key differences. Unlike QMBS states, AQMBS state…
View article: A brief note on the G$_2$ Affleck-Kennedy-Lieb-Tasaki chain
A brief note on the G$_2$ Affleck-Kennedy-Lieb-Tasaki chain Open
We consider the valence bond solid (VBS) state built of singlet pairs of fundamental representations and projected onto adjoint representations of the exceptional Lie group G _2 . The two-point correlation function in the VBS state is n…
View article: Exact Quantum Many-Body Scars in 2D Quantum Gauge Models
Exact Quantum Many-Body Scars in 2D Quantum Gauge Models Open
Quantum many-body scars (QMBS) serve as important examples of ergodicity-breaking phenomena in quantum many-body systems. Despite recent extensive studies, exact QMBS are rare in dimensions higher than one. In this paper, we study a two-di…
View article: Spin Nernst and thermal Hall effects of topological triplons in quantum dimer magnets on the maple-leaf and star lattices
Spin Nernst and thermal Hall effects of topological triplons in quantum dimer magnets on the maple-leaf and star lattices Open
We present a comprehensive theoretical study of the topological properties of triplon excitations in spin-1/2 dimer-singlet ground states defined on the maple leaf and star lattices. Our analysis is based on a model that includes Heisenber…
View article: Weak ergodicity breaking with isolated integrable sectors
Weak ergodicity breaking with isolated integrable sectors Open
We consider spin chain models with local Hamiltonians that display weak ergodicity breaking. In these models, the majority of the eigenstates are thermal, but there is a distinguished subspace of the Hilbert space in which ergodicity is br…
View article: Phase diagram of a coupled trimer system at half filling using the Hubbard model
Phase diagram of a coupled trimer system at half filling using the Hubbard model Open
Flat band systems have recently attracted significant attention due to their instability under small perturbations, which can lead to the stabilization of many exotic quantum phases. We study a trimer ladder which shows a middle flat band …
View article: Non-equilibirum physics of density-difference dependent Hamiltonian: Quantum Scarring from Emergent Chiral Symmetry
Non-equilibirum physics of density-difference dependent Hamiltonian: Quantum Scarring from Emergent Chiral Symmetry Open
Quantum many-body scars represent a form of weak ergodicity breaking that highlights the unusual physics of thermalization in quantum systems. Understanding scar formation promises insight into the connection between classical statistical …
View article: Disorder-free Sachdev-Ye-Kitaev models: Integrability and a precursor of chaos
Disorder-free Sachdev-Ye-Kitaev models: Integrability and a precursor of chaos Open
We introduce two disorder-free variants of the Sachdev-Ye-Kitaev (SYK) model, demonstrate their integrability, and study their static and dynamical properties. Unlike diagrammatic techniques, the integrability of these models allows us to …
View article: Weak ergodicity breaking with isolated integrable sectors
Weak ergodicity breaking with isolated integrable sectors Open
We consider spin chain models with local Hamiltonians that display weak ergodicity breaking. In these models, the majority of the eigenstates are thermal, but there is a distinguished subspace of the Hilbert space in which ergodicity is br…
View article: Exact eigenstates of multicomponent Hubbard models: SU(<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi></mml:math>) magnetic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>η</mml:mi></mml:math> pairing, weak ergodicity breaking, and partial integrability
Exact eigenstates of multicomponent Hubbard models: SU() magnetic pairing, weak ergodicity breaking, and partial integrability Open
We construct exact eigenstates of multicomponent Hubbard models in arbitrary dimensions by generalizing the η-pairing mechanism. Our models include the SU(N) Hubbard model as a special case. Unlike the conventional two-component case, the …
View article: Edge-Edge Correlations without Edge-States: $η$-clustering State as Ground State of the Extended Attractive SU(3) Hubbard Chain
Edge-Edge Correlations without Edge-States: $η$-clustering State as Ground State of the Extended Attractive SU(3) Hubbard Chain Open
We explore the phase diagram of the extended attractive SU($3$) Hubbard chain with two-body hopping and nearest-neighbor attraction at half-filling. In the large on-site attraction limit, we identify three different phases: phase separatio…
View article: Towers of Quantum Many-body Scars from Integrable Boundary States
Towers of Quantum Many-body Scars from Integrable Boundary States Open
We construct several models with multiple quantum many-body scars (QMBS) using integrable boundary states~(IBS). We focus on the tilted Néel states, which are parametrized IBS of the spin-1/2 Heisenberg model, and show that these states ca…
View article: More global randomness from less random local gates
More global randomness from less random local gates Open
Random circuits giving rise to unitary designs are key tools in quantum information science and many-body physics. In this work, we investigate a class of random quantum circuits with a specific gate structure. Within this framework, we pr…
View article: Universality and two-body losses: Lessons from the effective non-Hermitian dynamics of two particles
Universality and two-body losses: Lessons from the effective non-Hermitian dynamics of two particles Open
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View article: Quantum transport on Bethe lattices with non-Hermitian sources and a drain
Quantum transport on Bethe lattices with non-Hermitian sources and a drain Open
We consider quantum transport on a tight-binding model on the Bethe lattice of a finite generation, or the Cayley tree, which may model the energy transport in a light-harvesting molecule. As a new feature to analyze the quantum transport,…
View article: Electric field induced thermal Hall effect of triplons in the quantum dimer magnets <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi mathvariant="italic">X</mml:mi><mml:msub><mml:mi>CuCl</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:math> (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi mathvariant="italic">X</mml:mi><mml:mo>=</mml:mo><mml:mi>Tl</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">K</mml:mi></mml:mrow></mml:math>)
Electric field induced thermal Hall effect of triplons in the quantum dimer magnets () Open
We theoretically propose the electric field induced thermal Hall effect of triplons in the quantum dimer magnets XCuCl3 (X=Tl,K), which exhibit ferroelectricity in the Bose-Einstein condensation phase of triplons. The interplay between fer…
View article: Disorder-free Sachdev-Ye-Kitaev models: Integrability and a precursor of chaos
Disorder-free Sachdev-Ye-Kitaev models: Integrability and a precursor of chaos Open
We introduce two disorder-free variants of the Sachdev-Ye-Kitaev (SYK) model, demonstrate their integrability, and study their static and dynamical properties. Unlike diagrammatic techniques, the integrability of these models allows us to …
View article: Spontaneous breaking of U(1) symmetry at zero temperature in one dimension
Spontaneous breaking of U(1) symmetry at zero temperature in one dimension Open
The Hohenberg--Mermin--Wagner theorem states that there is no spontaneous breaking of continuous symmetries in spatial dimensions $d\leq2$ at finite temperature. At zero temperature, the classical/quantum mapping further implies the absenc…
View article: Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions
Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions Open
Many magnetic materials are predicted to exhibit bosonic topological edge modes in their excitation spectra, because of the nontrivial topology of their magnon, triplon, or other quasi-particle band structures. However, there is a discrepa…
View article: Electric field induced thermal Hall effect of triplons in the quantum dimer magnets $X$CuCl$_{3}$ ($X =$ Tl, K)
Electric field induced thermal Hall effect of triplons in the quantum dimer magnets $X$CuCl$_{3}$ ($X =$ Tl, K) Open
We theoretically propose the electric field induced thermal Hall effect of triplons in the quantum dimer magnets $X$CuCl$_{3}$ ($X =$ Tl, K), which exhibit ferroelectricity in the Bose-Einstein condensation phase of triplons. The interplay…
View article: Flat-band ferromagnetism in the SU(<i>N</i>) Hubbard and Kondo lattice models
Flat-band ferromagnetism in the SU(<i>N</i>) Hubbard and Kondo lattice models Open
We develop a general theory of flat-band ferromagnetism in the SU( N ) Fermi–Hubbard model, which describes the behavior of N -component fermions with SU( N ) symmetric interactions. We focus on the case where the single-particle spectrum …
View article: Jordan Decomposition of Non-Hermitian Fermionic Quadratic Forms
Jordan Decomposition of Non-Hermitian Fermionic Quadratic Forms Open
We give a rigorous proof of Conjecture 3.1 by Prosen [Prosen T 2010 J. Stat. Mech. $\textbf{2010}$ P07020] on the nilpotent part of the Jordan decomposition of a quadratic fermionic Liouvillian. We also show that the number of the Jordan b…
View article: Exact hole-induced $SU(N)$ flavor-singlets in certain $U=\infty$ $SU(N)$ Hubbard models
Exact hole-induced $SU(N)$ flavor-singlets in certain $U=\infty$ $SU(N)$ Hubbard models Open
We prove that the motion of a single hole induces $SU(N)$ flavor-singlets in the $U=\infty$ $SU(N)$ (Fermi) Hubbard model on a Husimi-like tree graph. The result is also generalized to certain $t$-$J$ models with antiferromagnetic interact…
View article: Proposal for simulating quantum spin models with the Dzyaloshinskii-Moriya interaction using Rydberg atoms and the construction of asymptotic quantum many-body scar states
Proposal for simulating quantum spin models with the Dzyaloshinskii-Moriya interaction using Rydberg atoms and the construction of asymptotic quantum many-body scar states Open
We have developed a method to simulate quantum spin models with the Dzyaloshinskii-Moriya interaction (DMI) using Rydberg atom quantum simulators. Our approach involves a two-photon Raman transition and a transformation to the spin-rotatin…
View article: Quantum many-body scars in spin models with multibody interactions
Quantum many-body scars in spin models with multibody interactions Open
We introduce and study several classes of quantum spin models with multi-body interactions that exhibit quantum many-body scars. The models are constructed by two different methods: one exploiting boundary states in integrable spin chains …
View article: Flat-band ferromagnetism in the SU($N$) Hubbard and Kondo lattice models
Flat-band ferromagnetism in the SU($N$) Hubbard and Kondo lattice models Open
We develop a general theory of flat-band ferromagnetism in the SU($N$) Fermi-Hubbard model, which describes the behavior of $N$-component fermions with SU($N$) symmetric interactions. We focus on the case where the single-particle spectrum…
View article: Liouvillian gap and single spin-flip dynamics in the dissipative Fermi-Hubbard model
Liouvillian gap and single spin-flip dynamics in the dissipative Fermi-Hubbard model Open
Motivated by recent progress in cold-atom experiments, we analyze the SU($N$) Fermi-Hubbard model on a $d$-dimensional hypercubic lattice with two-body loss. By focusing on states near the ferromagnetic steady states, we obtain the Liouvil…