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Search Results: 1 - 10 of 689 matches for " Yoshiko Ogata "
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Local distinguishability of quantum states in infinite dimensional systems
Yoshiko Ogata
Physics , 2005, DOI: 10.1088/0305-4470/39/12/014
Abstract: We investigate local distinguishability of quantum states by use of the convex analysis about joint numerical range of operators on a Hilbert space. We show that any two orthogonal pure states are distinguishable by local operations and classical communications, even for infinite dimensional systems. An estimate of the local discrimination probability is also given for some family of more than two pure states.
Large Deviations in Quantum Spin Chain
Yoshiko Ogata
Physics , 2008,
Abstract: We show the full large deviation principle for KMS-states and $C^*$-finitely correlated states on a quantum spin chain. We cover general local observables. Our main tool is Ruelle's transfer operator method.
The Stability of the Non-Equilibrium Steady States
Yoshiko Ogata
Physics , 2003, DOI: 10.1007/s00220-003-1011-5
Abstract: We show that the non-equilibrium steady state (NESS) of the free lattice Fermion model far from equilibrium is macroscopically unstable. The problem is translated to that of the spectral analysis of {\it Liouville Operator}. We use the method of positive commutators to investigate it. We construct a positive commutator on the lattice Fermion system, whose dispersion relation is $\omega(k)=\cos k-\gamma$.
Decoherence free algebra
Yoshiko Ogata
Physics , 2003, DOI: 10.1016/S0375-9601(03)00868-5
Abstract: We consider the decoherence free subalgebra which satisfies the minimal condition introduced by Alicki. We show the manifest form of it and relate the subalgebra with the Kraus representation. The arguments also provides a new proof for generalized L\"{u}ders theorem.
The Diffusion of the Magnetization Profile in the XX-model
Yoshiko Ogata
Physics , 2002, DOI: 10.1103/PhysRevE.66.066123
Abstract: By the $C^*$-algebraic method, we investigate the magnetization profile in the intermediate time of diffusion. We observe a transition from monotone profile to non-monotone profile. This transition is purely thermal.
A class of asymmetric gapped Hamiltonians on quantum spin chains and its characterization II
Yoshiko Ogata
Physics , 2015,
Abstract: We give a characterization of the class of gapped Hamiltonians introduced in PartI [O]. The Hamiltonians in this class are given as MPS (Matrix product state) Hamiltonians. In [O], we list up properties of ground state structures of Hamiltonians in this class. In this Part II, we show the converse. Namely, if a (not necessarily MPS) Hamiltonian $H$ satisfies five of the listed properties, there is a Hamiltonian $H'$ from the class in [O], satisfying the followings: The ground state spaces of the two Hamiltonians on the infinite intervals coincide. The spectral projections onto the ground state space of $H$ on each finite intervals are approximated by that of $H'$ exponentially well, with respect to the interval size. The latter property has an application to the classification problem.
A class of asymmetric gapped Hamiltonians on quantum spin chains and its characterization I
Yoshiko Ogata
Physics , 2015,
Abstract: We introduce a class of gapped Hamiltonians on quantum spin chains, which allows asymmetric edge ground states. This class is an asymmetric generalization of the class of Hamiltonians in [FNS]. It can be characterized by five qualitative physical properties of ground state structures. In this Part I, we introduce the models and investigate their properties.
A generalization of the inequality of Audenaert et al
Yoshiko Ogata
Mathematics , 2010,
Abstract: We extend the inequality of Audenaert et al to general von Neumann algebras.
The Shannon-McMillan Theorem for AF $C^*$-systems
Yoshiko Ogata
Mathematics , 2013, DOI: 10.1007/s11005-013-0647-0
Abstract: We give a new proof of quantum Shannon-McMillan theorem, extending it to AF $C^*$-systems. Our proof is based on the variational principle, instead of the classical Shannon-McMillan theorem.
Approximating macroscopic observables in quantum spin systems with commuting matrices
Yoshiko Ogata
Mathematics , 2011,
Abstract: Macroscopic observables in a quantum spin system are given by sequences of spatial means of local elements $\frac{1}{2n+1}\sum_{j=-n}^n\gamma_j(A_{i}), \; n\in{\mathbb N},\; i=1,...,m$ in a UHF algebra. One of their properties is that they commute asymptotically, as $n$ goes to infinity. It is not true that any given set of asymptotically commuting matrices can be approximated by commuting ones in the norm topology. In this paper, we show that for macroscopic observables, this is true.
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