Zobrazeno 1 - 10
of 7 871
pro vyhledávání: '"free fermions"'
This work proposes a minimal model extending the duality between classical statistical spin systems and fermionic systems beyond the case of free fermions. A Jordan-Wigner transformation applied to a two-dimensional tensor network maps the partition
Externí odkaz:
http://arxiv.org/abs/2412.04216
Autor:
Gatto, Letterio, Yousofzadeh, Malihe
The Clifford algebra of the endomorphisms of the exterior algebra of a countably dimensional vector space induces natural bosonic shadows, i.e. families of linear maps between the cohomologies of complex grassmannians. The main result of this paper i
Externí odkaz:
http://arxiv.org/abs/2410.15152
We use a double shifted power analog of free fermion fields to introduce current operators, Hamiltonians, and vertex operators which are deformed by two families of parameters and satisfy analogous formulas to the classical case. We show that the def
Externí odkaz:
http://arxiv.org/abs/2410.06582
Interacting crystalline SPT phases were first classified by Thorngren and Else through the crystalline equivalence principle, suggesting that a spatial group symmetry can be treated as if it were an internal symmetry group. Using techniques from topo
Externí odkaz:
http://arxiv.org/abs/2408.07203
Recently, tight-binding models on hyperbolic lattices (discretized AdS space), have gained significant attention, leading to hyperbolic band theory and non-Abelian Bloch states. In this paper, we investigate these quantum systems from the perspective
Externí odkaz:
http://arxiv.org/abs/2408.01706
Widom's conjecture: variance asymptotics and entropy bounds for counting statistics of free fermions
Autor:
Deleporte, Alix, Lambert, Gaultier
We obtain a central limit theorem for bulk counting statistics of free fermions in smooth domains of $\mathbb{R}^n$ with an explicit description of the covariance structure. This amounts to a study of the asymptotics of norms of commutators between s
Externí odkaz:
http://arxiv.org/abs/2405.07796
Publikováno v:
Phys. Rev. B 110, 094310 (2024)
The Wannier-Stark localization dynamically alters the entanglement behavior of non-Hermitian free fermions. Utilizing the single-particle correlation matrix technique, we analyze the effective Hamiltonian of these fermions with a Wannier-Stark ladder
Externí odkaz:
http://arxiv.org/abs/2405.19155
We consider directed polymers in 1+1 spatial dimension under action of an external repulsive potential along a line. Using the exact mapping onto imaginary time evolution of free fermions we find that for sufficiently strong potential the system of p
Externí odkaz:
http://arxiv.org/abs/2405.12651
Autor:
Pastur, L., Slavin, V.
Publikováno v:
Entropy 2024, 26(7), 564
We consider a quantum system of large size $N$ and its subsystem of size $L$ assuming that $N$ is much larger than $L$, which can also be sufficiently large, i.e., $1 \ll L \lesssim N $. A widely accepted mathematical version of this heuristic inequa
Externí odkaz:
http://arxiv.org/abs/2405.11342
We consider quantum spin chains with a hidden free fermionic structure, distinct from the Jordan-Wigner transformation and its generalizations. We express selected local operators with the hidden fermions. This way we can exactly solve the real time
Externí odkaz:
http://arxiv.org/abs/2405.20832