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We propose a variational framework for solving ground-state problems of open quantum systems governed by quantum stochastic differential equations (QSDEs). This formulation naturally accommodates bosonic operators, as commonly encountered…

Quantum Physics · Physics 2025-12-17 Yunyan Lee , Ian R. Petersen , Daoyi Dong

We consider bound states in the continuum (BSC) or embedded trapped modes in two- and three-dimensional acoustic axisymmetric duct-cavity structures. We demonstrate numerically that under variation of the length of the cavity multiple BSCs…

Classical Physics · Physics 2015-10-28 A. A. Lyapina , D. N. Maksimov , A. S. Pilipchuk , A. F. Sadreev

Open many-body quantum systems have attracted renewed interest in the context of quantum information science and quantum transport with biological clusters and ultracold atomic gases. The physical relevance in many-particle bosonic systems…

Quantum Gases · Physics 2015-10-02 G. Kordas , D. Witthaut , P. Buonsante , A. Vezzani , R. Burioni , A. I. Karanikas , S. Wimberger

In a recent paper [Phys. Rev. A 82, 063623 (2010)] Hallwood et al. argued that it is feasible to create large superposition states with strongly interacting bosons in rotating rings. Here we investigate in detail how the superposition…

Quantum Gases · Physics 2011-11-09 Andreas Nunnenkamp , Ana Maria Rey , Keith Burnett

The use of dissipation for the controlled creation of nontrivial quantum many-body correlated states is of much fundamental and practical interest. What is the result of imposing number conservation, which, in closed system, gives rise to…

Statistical Mechanics · Physics 2023-05-30 P. A. Nosov , D. S. Shapiro , M. Goldstein , I. S. Burmistrov

Two-component Bose-Einstein condensates in the miscible phase can support polarization solitary waves, known as magnetic solitons. By calculating the interaction potential between two magnetic solitons, we elucidate the mechanisms and…

Quantum Gases · Physics 2025-11-21 R. M. V. Röhrs , Chunlei Qu , R. N. Bisset

We extend a recent work by Mussardo and Penati on integrable quantum field theories with a single stable particle and an infinite number of unstable resonance states, including the presence of a boundary. The corresponding scattering and…

High Energy Physics - Theory · Physics 2009-11-07 P. Mosconi , G. Mussardo , V. Riva

We establish that the ability of a localized trapping potential to bind weakly-interacting bosons is dramatically enhanced in the vicinity of the threshold of formation of the single-particle bound-state of the trap. Specifically, for…

Other Condensed Matter · Physics 2010-07-30 Joseph P. Straley , Eugene B. Kolomeisky

We consider a three-level quantum system interacting with a bosonic thermal reservoir. Two energy levels of the system are nearly degenerate but well separated from the third one. The system-reservoir interaction constant is larger than the…

Quantum Physics · Physics 2015-07-06 Marco Merkli , Haifeng Song , Gennady Berman

Dynamic phenomena in social and biological sciences can often be modeled by employing reaction-diffusion equations. When addressing the control of these modes, from a mathematical viewpoint one of the main challenges is that, because of the…

Optimization and Control · Mathematics 2020-06-02 Domènec Ruiz-Balet , Enrique Zuazua

Bound states in the continuum (BICs), referring to spatially localized bound states with energies falling within the range of extended modes, have been extensively investigated in single-particle systems, leading to diverse applications in…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 Na Sun , Weixuan Zhang , Hao Yuan , Xiangdong Zhang

We derive and describe a very accurate variational scheme for the ground state of the system of a few ultra-cold bosons confined in one-dimensional traps of arbitrary shapes. It is based on assumption that all inter-particle correlations…

Quantum Gases · Physics 2021-06-24 Przemysław Kościk , Arkadiusz Kuroś , Adam Pieprzycki , Tomasz Sowiński

We investigate the behavior of two quantum emitters (two-level atoms) embedded in a linear waveguide, in a quasi-one-dimensional configuration. Since the atoms can emit, absorb and reflect radiation, the pair can spontaneously relax towards…

We study the dissipative stabilization of entangled states in arrays of quantum systems. Specifically, we are interested in the states of qubits (spin-1/2) which may or may not interact with one or more cavities (bosonic modes). In all…

Quantum Physics · Physics 2024-01-29 Jacopo Angeletti , Stefano Zippilli , David Vitali

Bound states in the continuum (BICs) are quantum states with normalizable wave functions and energies that lie within the continuous spectrum for which extended or dispersive states are also available. These special states, which have shown…

Mesoscale and Nanoscale Physics · Physics 2024-07-29 Ricardo Y. Díaz-Bonifaz , Carlos Ramírez

We consider non-relativistic systems in quantum mechanics interacting through the Coulomb potential, and discuss the existence of bound states which are stable against spontaneous dissociation into smaller atoms or ions. We review the…

Atomic Physics · Physics 2009-11-10 E. A. G. Armour , J. -M. Richard , K. Varga

Quasiperiodic potentials and dipolar interactions each impose long-range order in quantum systems, but their interplay unlocks a rich landscape of unexplored quantum phases. In this work, we investigate how dipolar bosonic crystals respond…

Quantum Gases · Physics 2025-07-01 Paolo Molignini , Barnali Chakrabarti

Bound states in the continuum (BICs) are localized modes residing in the radiation continuum. They were first predicted for single-particle states, and became a general feature of many wave systems. In many-body quantum physics, it is still…

Quantum Physics · Physics 2024-10-28 Boning Huang , Yongguan Ke , Honghua Zhong , Yuri S. Kivshar , Chaohong Lee

Bound state and time evolution for single excitation in one dimensional XXZ spin chain within non-Markovian reservoir are studied exactly. As for bound state, a common feature is the localization of single excitation, which means the…

Quantum Physics · Physics 2018-05-09 H. T. Cui , H. Z. Shen , S. C. Hou , X. X. Yi

We investigate the level population statistics and degree of coherence encoded in the single-particle density matrix of harmonically trapped low-dimensional [quasi-one-dimensional (quasi-1D) or quasi-two-dimensional (quasi-2D)] Bose gases…

Quantum Gases · Physics 2010-07-22 Uwe R. Fischer , Philipp Bader