Zobrazeno 1 - 10
of 100
pro vyhledávání: '"Hal Tasaki"'
Publikováno v:
Physical Review Research, Vol 3, Iss 3, p 033190 (2021)
We propose a class of tight-binding systems of interacting bosons with a flat band, which are exactly solvable in the sense that one can explicitly write down the unique ground state. The ground state is expressed in terms of local creation operators
Externí odkaz:
https://doaj.org/article/1edd7facdcdb45daa9f354fae8d29240
Extremely quick thermalization in a macroscopic quantum system for a typical nonequilibrium subspace
Publikováno v:
New Journal of Physics, Vol 17, Iss 4, p 045002 (2015)
The fact that macroscopic systems approach thermal equilibrium may seem puzzling, for example, because it may seem to conflict with the time-reversibility of the microscopic dynamics. We here prove that in a macroscopic quantum system for a typical c
Externí odkaz:
https://doaj.org/article/19dbfaf625da40c1bb67acb5bd50adbd
Autor:
Hal Tasaki
Publikováno v:
Journal of Mathematical Physics. 64
We present a rigorous but elementary index theory for a class of one-dimensional systems of interacting (and possibly disordered) fermions with $\Uone\rtimes\bbZ_2$ symmetry defined on the infinite chain. The class includes the Su-Schrieffer-Heeger (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9c6c08aa183359d715db8746f48b30b
https://doi.org/10.1063/5.0123738
https://doi.org/10.1063/5.0123738
Autor:
Daisuke Maekawa, Hal Tasaki
The qualitative difference in low-energy properties of spin $S$ quantum antiferromagnetic chains with integer $S$ and half-odd-integer $S$ discovered by Haldane can be intuitively understood in terms of the valence-bond picture proposed by Affleck, K
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c39555f9ffba9ec7b1a181d41f7fa2c
Autor:
Haruki Watanabe, Hal Tasaki
Publikováno v:
Physical Review B. 104
For a large class of quantum many-body systems with U(1) symmetry, we prove a general inequality that relates the (off-diagonal) long-range order with the charge gap. For a system of bosons or fermions on a lattice or in the continuum, the inequality
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c07f2706f9e65ebbf1ef5746fc786e50
https://doi.org/10.1103/physrevb.104.l180501
https://doi.org/10.1103/physrevb.104.l180501
Publikováno v:
Physical Review Research. 3
We propose a new class of tight-binding systems of interacting bosons with a flat band, which are exactly solvable in the sense that one can explicitly write down the unique ground state. The ground state is expressed in terms of local creation opera
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc83be499ea5a1fc87c7c8e4af1d6599
https://doi.org/10.1103/physrevresearch.3.033190
https://doi.org/10.1103/physrevresearch.3.033190
Autor:
Hal Tasaki, Yoshiko Ogata
Publikováno v:
Communications in Mathematical Physics. 372:951-962
We prove that a quantum spin chain with half-odd-integral spin cannot have a unique ground state with a gap, provided that the interaction is short ranged, translation invariant, and possesses time-reversal symmetry or $${\mathbb{Z}_{2} \times \mathb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa2517a660dde7a33d3b7d06b0334107
https://doi.org/10.1007/s00220-019-03343-5
https://doi.org/10.1007/s00220-019-03343-5
Autor:
Hal Tasaki
Publikováno v:
Physical Review Letters. 125
We study a class of two-dimensional models of classical hard-core particles with Vicsek-type "exchange interaction" that aligns the directions of motion of nearby particles. By extending the Hohenberg-Mermin-Wagner theorem for the absence of spontane
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9c2faed00ead2e99bf8ed5d3e92bb1d
https://doi.org/10.1103/physrevlett.125.220601
https://doi.org/10.1103/physrevlett.125.220601
We develop a general operator algebraic method which focuses on projective representations of symmetry group for proving Lieb-Schultz-Mattis type theorems, i.e., no-go theorems that rule out the existence of a unique gapped ground state (or, more gen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f5c4f1c1a1b9f54ae676c2ea7d06f2f
http://arxiv.org/abs/2004.06458
http://arxiv.org/abs/2004.06458