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Motivated by the example of a curved waveguide embedded in a photonic crystal, we examine the effects of geometry in a ``quantum channel'' of parabolic form. We study the linear case and derive exact as well as approximate expressions for…

Pattern Formation and Solitons · Physics 2009-11-10 Yu. B. Gaididei , P. L. Christiansen , P. G. Kevrekidis , H. Buttner , A. R. Bishop

A one-dimensional dissipative Hubbard model with two-body loss is shown to be exactly solvable. We obtain an exact eigenspectrum of a Liouvillian superoperator by employing a non-Hermitian extension of the Bethe-ansatz method. We find…

Quantum Gases · Physics 2021-03-26 Masaya Nakagawa , Norio Kawakami , Masahito Ueda

Elementary particles such as the electron carry several quantum numbers, for example, charge and spin. However, in an ensemble of strongly interacting particles, the emerging degrees of freedom can fundamentally differ from those of the…

We propose a hybrid quantum-classical eigensolver to address the computational challenges of simulating strongly correlated quantum many-body systems, where the exponential growth of the Hilbert space and extensive entanglement render…

Quantum Physics · Physics 2025-10-23 Lei Xu , Ling Wang

This paper presents the exact ground state solution for a diatomic particle system with position-dependent complex mass under action of a complex Morse potential in the quantum domain. By solving the position-dependent Schr\"odinger…

Quantum Physics · Physics 2025-12-24 Partha Sarathi , Bhaskar Singh Rawat

A perturbation method deals with dipolar coupling spins in solids is presented. As examples of the application the method, the multile-quantum coherence dynamics in clusters of a linear chain of four nuclear spins and a ring of six spins…

Materials Science · Physics 2007-05-23 G. B. Furman , S. D. Goren , V. M. Meerovich , V. L. Sokolovsky , S. William

This paper starts by describing the dynamics of the electron-monopole system at both classical and quantum level by a suitable reduction procedure. This suggests, in order to realise the space of states for quantum systems which are…

Mathematical Physics · Physics 2016-09-22 Di Cosmo Fabio , Marmo Giuseppe , Zampini Alessandro

Quantification of coherence lies at the heart of quantum information processing and fundamental physics. Exact evaluation of coherence measures generally needs a full reconstruction of the density matrix, which becomes intractable for…

Quantum Physics · Physics 2021-06-28 Qi-Ming Ding , Xiao-Xu Fang , Xiao Yuan , Ting Zhang , He Lu

In modeling quantum systems or wave phenomena, one is often interested in identifying eigenstates that approximately carry a specified property; scattering states approximately align with incoming and outgoing traveling waves, for instance,…

Numerical Analysis · Mathematics 2024-08-13 David Darrow , Jeffrey S. Ovall

We design a quasi-one dimensional spin chain with engineered coupling strengths such that the natural dynamics of the spin chain evolves a single excitation localized at the left hand site to any specified single particle state on the whole…

Quantum Physics · Physics 2019-05-22 Morteza Moradi , Vahid Karimipour

Waveguide quantum electrodynamics (wQED) with giant atoms provides a distinctive opportunity to study one-dimensional (1D) coupled spin systems through its unique decoherence-free interactions. This study presents a theoretical framework…

Quantum Physics · Physics 2025-02-19 C. L. Yang , W. Z. Jia

Exact solutions of quantum lattice models serve as useful guides for interpreting physical phenomena in condensed matter systems. Prominent examples of integrability appear in one dimension, including the Heisenberg chain, where the Bethe…

Strongly Correlated Electrons · Physics 2025-01-27 Ronald Melendrez , Bhaskar Mukherjee , Marcin Szyniszewski , Christopher J. Turner , Arijeet Pal , Hitesh J. Changlani

We propose applying the adiabatic algorithm to prepare high-energy eigenstates of integrable models on a quantum computer. We first review the standard adiabatic algorithm to prepare ground states in each magnetization sector of the…

Quantum Physics · Physics 2026-03-18 Maximilian Lutz , Lorenzo Piroli , Georgios Styliaris , J. Ignacio Cirac

The geometry of multi-parameter families of quantum states is important in numerous contexts, including adiabatic or nonadiabatic quantum dynamics, quantum quenches, and the characterization of quantum critical points. Here, we discuss the…

Disordered Systems and Neural Networks · Physics 2021-05-25 Alexander-Georg Penner , Felix von Oppen , Gergely Zarand , Martin R. Zirnbauer

Exact quantum integrability is established for a class of multi-chain electron models with correlated hopping and spin models with interchain interactions, by constructing the related Lax operators and R-matrices through twisting and gauge…

Condensed Matter · Physics 2009-11-07 Anjan Kundu

We present an approximation scheme based on selective Hilbert space truncation for characterizing non-thermal states of magnetic systems beyond spin-wave theory. We study applications to states that are inaccessible through linear spin-wave…

Strongly Correlated Electrons · Physics 2026-01-13 Wesley Roberts , Michael Vogl , Roderich Moessner , Gregory A. Fiete

Utilizing quantum computer to investigate quantum chemistry is an important research field nowadays. In addition to the ground-state problems that have been widely studied, the determination of excited-states plays a crucial role in the…

It is difficult to calculate the energy levels and eigenstates of a large physical system on a classical computer because of the exponentially growing size of the Hilbert space. In this work, we experimentally demonstrate a quantum…

Quantum Physics · Physics 2019-03-12 Zhaokai Li , Xiaomei Liu , Hefeng Wang , Sahel Ashhab , Jiangyu Cui , Hongwei Chen , Xinhua Peng , Jiangfeng Du

We study quasiparticle excitations for quantum spin chains with long-range interactions using variational matrix product state techniques. It is confirmed that the local quasiparticle ansatz is able to capture those excitations very…

Strongly Correlated Electrons · Physics 2018-09-12 Laurens Vanderstraeten , Maarten Van Damme , Hans Peter Büchler , Frank Verstraete

Entanglement and its propagation are central to understanding a multitude of physical properties of quantum systems. Notably, within closed quantum many-body systems, entanglement is believed to yield emergent thermodynamic behavior.…