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Given a critical quantum spin chain described by a conformal field theory (CFT) at long distances, it is crucial to understand the universal conformal data. One most important ingredient is the operator product expansion (OPE) coefficients,…

Strongly Correlated Electrons · Physics 2023-04-26 Yuhan Liu , Yijian Zou , Shinsei Ryu

We numerically investigate classical and quantum correlations in one-dimensional quantum critical systems. The infinite matrix product state (iMPS) representation is employed in order to consider an infinite-size spin chain. By using the…

Strongly Correlated Electrons · Physics 2018-05-10 Yan-Wei Dai , Xi-Hao Chen , Sam Young Cho , Huan-Qiang Zhou , Dao-Xin Yao

Non-equilibrium phase transitions of open quantum systems generically exhibit diverging classical but not quantum correlations. Still entanglement -- characterizing the latter correlations -- can be sensitive to the phase transition.…

Some quantum critical states cannot be smoothly deformed into each other without either crossing some multicritical points or explicitly breaking certain symmetries even if they belong to the same universality class. This brings up the…

Strongly Correlated Electrons · Physics 2022-11-18 Xue-Jia Yu , Rui-Zhen Huang , Hong-Hao Song , Limei Xu , Chengxiang Ding , Long Zhang

The one-dimensional transverse Ising model is a paradigmatic example of quantum criticality. In spin-orbit coupled systems, however, effective Ising interactions arise alongside bond-dependent couplings such as Kitaev ($K$) and $\Gamma$…

Strongly Correlated Electrons · Physics 2026-03-17 Mandev Bhullar , Philip Richard , Hae-Young Kee

We propose two easy-to-study observables in the quantum Ising chain with open boundary conditions. They measure the length at which boundaries affect the longitudinal or transverse magnetization. We show that their finite-size scaling…

Statistical Mechanics · Physics 2018-10-03 Oskar A. Prośniak

This article reports a measurement of the low-energy excitation spectrum along the critical line for a quantum spin chain having a local interaction between three Ising spins and longitudinal and transverse magnetic fields. The measured…

Statistical Mechanics · Physics 2013-05-29 John F. McCabe , Tomasz Wydro

Estimating the overlap between an approximate wavefunction and a target eigenstate of the system Hamiltonian is essential for the efficiency of quantum phase estimation. In this work, we derive upper and lower bounds on this overlap using…

Quantum Physics · Physics 2025-03-18 Junan Lin , Artur F. Izmaylov

We consider a class of quantum quenches in the spin-1/2 XXZ chain, where the initial state is of a simple product form. Specific examples are the N\'eel state, the dimer state and the q-deformed dimer state. We compute determinant formulas…

Statistical Mechanics · Physics 2015-06-17 B. Pozsgay

Boundary critical phenomena are studied in the 3- State Potts model in 2 dimensions using conformal field theory, duality and renormalization group methods. A presumably complete set of boundary conditions is obtained using both fusion and…

Condensed Matter · Physics 2009-10-31 Ian Affleck , Masaki Oshikawa , Hubert Saleur

We consider the Shannon mutual information of subsystems of critical quantum chains in their ground states. Our results indicate a universal leading behavior for large subsystem sizes. Moreover, as happens with the entanglement entropy, its…

Statistical Mechanics · Physics 2015-06-15 F. C. Alcaraz , M. A. Rajabpour

Based on large-scale density matrix renormalization group techniques, we investigate the critical behaviors of quantum three-state Potts chains with long-range interactions. Using fidelity susceptibility as an indicator, we obtain a…

Strongly Correlated Electrons · Physics 2023-05-31 Xue-Jia Yu , Chengxiang Ding , Limei Xu

The quantum entanglement $E$ of a bipartite quantum Ising chain is compared with the mutual information $I$ between the two parts after a local measurement of the classical spin configuration. As the model is conformally invariant, the…

Statistical Mechanics · Physics 2015-06-11 Jaegon Um , Hyunggyu Park , Haye Hinrichsen

We study quantum phase transitions in transverse-field Ising spin chains in which the couplings are random but hyperuniform, in the sense that their large-scale fluctuations are suppressed. We construct a one-parameter family of disorder…

Statistical Mechanics · Physics 2019-10-23 Philip J. D. Crowley , C. R. Laumann , Sarang Gopalakrishnan

We apply a real-space block renormalization group approach to study the critical properties of the random transverse-field Ising spin chain with multispin interactions. First we recover the known properties of the traditional model with…

Disordered Systems and Neural Networks · Physics 2025-03-25 Ferenc Iglói , Yu-Cheng Lin

We identify universal properties of the low-energy subspace of a wide class of quantum optical models in the ultrastrong coupling limit, where the coupling strength dominates over all other energy scales in the system. We show that the…

Quantum Physics · Physics 2020-02-05 Simone Felicetti , Alexandre Le Boité

Exploiting the entanglement concept within a matrix-product-state based infinite density-matrix renormalization group approach, we show that the spin-density-wave and bond-order-wave ground states of the one-dimensional half-filled extended…

Strongly Correlated Electrons · Physics 2015-08-05 Florian Lange , Satoshi Ejima , Holger Fehske

We consider the spin-1/2 Ising chain in a regularly alternating transverse field to examine the effects of regular alternation on the quantum phase transition inherent in the quantum Ising chain. The number of quantum phase transition…

Statistical Mechanics · Physics 2007-05-23 Oleg Derzhko , Taras Krokhmalskii

We consider the behaviour of open quantum systems in dependence on the coupling to one decay channel by introducing the coupling parameter $\alpha$ being proportional to the average degree of overlapping. Under critical conditions, a…

Quantum Physics · Physics 2009-10-31 C. Jung , M. Mueller , I. Rotter

We study the mutual information between two lattice-blocks in terms of von Neumann entropies for one-dimensional infinite lattice systems. Quantum $q$-state Potts model and transverse field spin-$1/2$ XY model are considered numerically by…

Strongly Correlated Electrons · Physics 2021-11-10 Yan-Wei Dai , Xi Hao Chen , Sam Young Cho , Huan-Qiang Zhou
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