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We derive and analyze the Born-Markov master equation for a quantum harmonic oscillator interacting with a bath of independent two-level systems. This hitherto virtually unexplored model plays a fundamental role as one of the four…

Quantum Physics · Physics 2008-02-20 Maximilian Schlosshauer , Andrew P. Hines , Gerard J. Milburn

The effective theories for many quantum phase transitions can be mapped onto those of classical transitions. Here we show that such a mapping fails for the sub-ohmic spin-boson model which describes a two-level system coupled to a bosonic…

Statistical Mechanics · Physics 2009-06-08 Matthias Vojta , Ning-Hua Tong , Ralf Bulla

We study the decoherence of a spin in a quantum dot due to its hyperfine coupling to a randomly fluctuating bath of nuclear spins. The system is modelled by the central spin model with the spin bath initially being at infinite temperature.…

Mesoscale and Nanoscale Physics · Physics 2013-09-02 Alexandre Faribault , Dirk Schuricht

We describe a model for the interaction of the internal (spin) degree of freedom of a quantum lattice-gas particle with an environmental bath. We impose the constraints that the particle-bath interaction be fixed, while the state of the…

Quantum Physics · Physics 2007-05-23 Peter J. Love , Bruce M. Boghosian

Spin-boson models are simple examples of quantum dissipative systems, but also serve as effective models in quantum magnetism and exhibit nontrivial criticality. Recently, they have been established as a platform to study the nontrivial…

Strongly Correlated Electrons · Physics 2026-01-06 Manuel Weber

Supersymmetry plays a main role in all current thinking about superstring theory. Indeed, many remarkable properties of string theory have been explained using supersymmetry as a tool. So far, there has been no unbroken supersymmetry…

General Physics · Physics 2020-08-06 Ahmed Ayad

The study of coherence dynamics in open quantum systems, specifically addressing various physical realizations of quantum systems and environments, is a long-standing and central pillar of quantum science and technology. As such, a large…

Quantum Physics · Physics 2024-09-20 Kevin Ben Attar , Nir Bar-Gill

The success of a quantum annealing algorithm requires a polynomial scaling of the energy gap. Recently it was shown that a two-dimensional transverse-field Ising model on a square lattice with nearest-neighbor $\pm J$ random coupling has a…

Disordered Systems and Neural Networks · Physics 2025-12-04 G. -X. Tang , J. -Z. Zhuang , L. -M. Duan , Y. -K. Wu

Grand unification of gauge couplings and fermionic representations remains an appealing proposal to explain the seemingly coincidental structure of the Standard Model. However, to realise the Standard Model at low energies, the unified…

High Energy Physics - Phenomenology · Physics 2022-08-16 Aaron Held , Jan Kwapisz , Lohan Sartore

We study the spectral properties of a spin-boson Hamiltonian that depends on two continuous parameters $0\leq\Lambda<\infty$ (interaction strength) and $0\leq\alpha\leq\pi/2$ (integrability switch). In the classical limit this system has…

Other Condensed Matter · Physics 2009-11-13 Vyacheslav V. Stepanov , Gerhard Muller , Joachim Stolze

Superconducting circuits are currently developed as a versatile platform for the exploration of many-body physics, by building on non-linear elements that are often idealized as two-level qubits. A classic example is given by a charge qubit…

Mesoscale and Nanoscale Physics · Physics 2021-12-20 Kuljeet Kaur , Théo Sépulcre , Nicolas Roch , Izak Snyman , Serge Florens , Soumya Bera

We analyze the suppression of decoherence by means of dynamical decoupling in the pure-dephasing spin-boson model for baths with power law spectra. The sequence of ideal $\pi$ pulses is optimized according to the power of the bath. We…

Quantum Physics · Physics 2010-03-15 S. Pasini , G. S. Uhrig

We study the zero temperature mean-field phase diagram of the Bose-Hubbard model in the presence of local coupling between the bosons and an external bath. We consider a coupling that conserves the on-site occupation number, preserving the…

Superconductivity · Physics 2013-05-29 Denis Dalidovich , Malcolm P. Kennett

Frustration on the triangular lattice has long been a source of intriguing and often debated phases in many-body systems. Although symmetry analysis has been employed, the role of the seemingly trivial parity symmetry has received little…

Strongly Correlated Electrons · Physics 2026-02-06 Songtai Lv , Yuchen Meng , Haiyuan Zou

We study the decoherence of a qubit weakly coupled to frustrated spin baths. We focus on spin-baths described by the classical Ising spin glass and the quantum random transverse Ising model which are known to have complex thermodynamic…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 E. A. Winograd , M. J. Rozenberg , R. Chitra

Spin-boson models are the canonical benchmark for quantum dissipation. We show the symmetry structure of general spin-boson Hamiltonians and obtain their spectra explicitly by exploiting the symmetry. As an illustration of the general case,…

Quantum Physics · Physics 2026-03-04 Yifan Sun , Lian-Ao Wu

The spin-boson model, often used in NMR and ESR physics, quantum optics and spintronics, is considered in a solvable limit to model a spin one-half particle interacting with a bosonic thermal bath. By applying external pulses to a…

Statistical Mechanics · Physics 2009-11-07 Claudia Pombo , Armen E. Allahverdyan , Theo M. Nieuwenhuizen

We propose coherent (`Schr\"odinger catlike') states adapted to the parity symmetry providing a remarkable variational description of the ground and first excited states of vibron models for finite-($N$)-size molecules. Vibron models…

Quantum Physics · Physics 2014-09-22 M. Calixto , E. Romera , R. del Real

It is shown that for a $N$-boson system the parity of $N$ can be responsible for a qualitative difference in the system response to variation of a parameter. The nonlinear boson model is considered, which describes tunneling of boson pairs…

Quantum Gases · Physics 2015-05-13 V. S. Shchesnovich

We study the structure of the spectrum of a two-level quantum system weakly coupled to a boson field (spin-boson model). Our analysis allows to avoid the cutoff in the number of bosons, if their spectrum is bounded below by a positive…

Statistical Mechanics · Physics 2008-10-28 Nicolae Angelescu , Robert Minlos , Jean Ruiz , Valentin Zagrebnov