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We investigate the dynamics of a one-dimensional $p$-wave superconductor with next-nearest-neighbor hopping and superconducting interaction derived from a three-spin interacting Ising model in transverse field by mapping to Majorana…

统计力学 · 物理学 2017-08-23 Atanu Rajak , Tanay Nag

Entanglement entropy (EE) of a state is a measure of correlation or entanglement between two parts of a composite system and it may show appreciable change when the ground state (GS) undergoes a qualitative change in a quantum phase…

强关联电子 · 物理学 2022-11-04 Sambunath Das , Dayasindhu Dey , S. Ramasesha , Manoranjan Kumar

The entanglement entropy (EE) of the ground state of a one-dimensional Hamiltonian at criticality has a universal logarithmic scaling with a prefactor given by the central charge $c$ of the underlying 1+1d conformal field theory. When the…

量子物理 · 物理学 2023-10-17 Zhou Yang , Dan Mao , Chao-Ming Jian

Entanglement entropy (EE) in critical quantum spin chains described by 1+1D conformal field theories contains signatures of the universal characteristics of the field theory. Boundaries and defects in the spin chain give rise to universal…

量子物理 · 物理学 2022-05-26 Ananda Roy , Hubert Saleur

Entanglement entropy (EE) provides a powerful probe of quantum phases, yet its role in identifying topological phase transitions in disordered systems remains underexplored. We introduce an exact EE-based framework that captures topological…

强关联电子 · 物理学 2026-04-09 Manish Kumar , Bharadwaj Vedula , Suhas Gangadharaiah , Auditya Sharma

We investigate the entanglement between a spin and its environment in impurity systems which exhibit a second-order quantum phase transition. As an application, we employ the spin-boson model, describing a two-level system (spin) coupled to…

强关联电子 · 物理学 2009-11-13 Karyn Le Hur , Philippe Doucet-Beaupre , Walter Hofstetter

Entanglement entropy~(EE) contains signatures of many universal properties of conformal field theories~(CFTs), especially in the presence of boundaries or defects. In particular, {\it topological} defects are interesting since they reflect…

高能物理 - 理论 · 物理学 2022-06-06 Ananda Roy , Hubert Saleur

Using free-fermionic techniques we study the entanglement entropy of a block of contiguous spins in a large finite quantum Ising chain in a transverse field, with couplings of different types: homogeneous, periodically modulated and random.…

统计力学 · 物理学 2009-11-13 Ferenc Igloi , Yu-Cheng Lin

The concept of entanglement entropy appears in multiple contexts, from black hole physics to quantum information theory, where it measures the entanglement of quantum states. We investigate the entanglement entropy in a simple model, the…

介观与纳米尺度物理 · 物理学 2015-05-13 Karyn Le Hur

We study the entanglement entropy(EE) of disordered one-dimensional spinless fermions with attractive interactions. With intensive numerical calculation of the EE using the density matrix renormalization group method, we find clear…

介观与纳米尺度物理 · 物理学 2013-03-08 Rui-Lin Chu , An Zhao , Shun-Qing Shen

The entanglement entropy in clean, as well as in random quantum spin chains has a logarithmic size-dependence at the critical point. Here, we study the entanglement of composite systems that consist of a clean and a random part, both being…

无序系统与神经网络 · 物理学 2017-11-28 Robert Juhász , István A. Kovács , Gergő Roósz , Ferenc Iglói

We define a new complex-valued measure of information called the timelike entanglement entropy (EE) which in the boundary theory can be viewed as a Wick rotation that changes a spacelike boundary subregion to a timelike one. An explicit…

高能物理 - 理论 · 物理学 2025-08-06 Kazuki Doi , Jonathan Harper , Ali Mollabashi , Tadashi Takayanagi , Yusuke Taki

Entanglement entropy (EE) is a fundamental probe of quantum phases and critical phenomena, which was thought to reflect only bulk universality for a long time. Very recently, people realized that the microscopic geometry of the entanglement…

强关联电子 · 物理学 2026-01-21 Zhe Wang , Chunhao Guo , Bin-Bin Mao , Zheng Yan

Spin chains with open boundaries, such as the transverse field Ising model, can display coherence times for edge spins that diverge with the system size as a consequence of almost conserved operators, the so-called strong zero modes. Here,…

统计力学 · 物理学 2018-10-03 Loredana M. Vasiloiu , Federico Carollo , Juan P. Garrahan

We study the unitary time evolution of the entropy of entanglement of a one-dimensional system between the degrees of freedom in an interval of length l and its complement, starting from a pure state which is not an eigenstate of the…

统计力学 · 物理学 2011-02-16 Pasquale Calabrese , John Cardy

We study the entanglement entropy of a region of length 2L with the remainder of an infinite one dimensional gapless quantum system in the case where the region is centered on a quantum impurity. The coupling to this impurity is not scale…

强关联电子 · 物理学 2013-11-08 Hubert Saleur , Peter Schmitteckert , Romain Vasseur

We study the scaling properties of the entanglement entropy (EE) near quantum critical points in interacting random antiferromagnetic (AF) spin chains. Using density-matrix renormalization group, we compute the half-chain EE near the…

无序系统与神经网络 · 物理学 2024-03-05 Prashant Kumar , R. N. Bhatt

We investigate the entanglement entropy (EE) of gapped S=1 and $S=1/2$ spin chains with dimerization. We find that the effective boundary degrees of freedom as edge states contribute significantly to the EE. For the $S=1/2$ dimerized…

强关联电子 · 物理学 2007-07-10 Takaaki Hirano , Yasuhiro Hatsugai

We study the entanglement entropy and entanglement spectrum of the paradigmatic Bose-Hubbard model, describing strongly correlated bosons on a lattice. The use of a controlled approximation - the slave-boson approach - allows us to study…

强关联电子 · 物理学 2016-05-18 Irénée Frérot , Tommaso Roscilde

We study the dynamics of entanglement in the scaling limit of the Ising spin chain in the presence of both a longitudinal and a transverse field. We present analytical results for the quench of the longitudinal field in critical transverse…

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