Beautiful Models: 70 Years of Exactly Solved Quantum Many-Body Problems

By M. Batchelor. 2005

387 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/9eb4a160381dbd81bb50b428c7152f2dfba8a74c

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In Atomic and Molecular Physics, and Optics

1. V. Khemani
2. D. Abanin
3. Maksym Serbyn
4. Anushya Chandran
5. Z. Papi'c
6. I. Bloch
7. Roderich Moessner
8. E. Altman

Citations in the corpus

• Quantum Many-Body Scars: A Quasiparticle Perspective (2022, methodology): “Journal of Statistical Mechanics: Theory and Experiment, 2016(6):064010, jun 2016.”
• Non-equilibrium statistical mechanics: from a paradigmatic model to biological transport (2011, neutral): “All these beautiful models often display wonderful 572 mathematical structures [88, 89].”
• Colloquium : Many-body localization, thermalization, and entanglement (2018, methodology): “However, as we discuss, the MBL integrability is conceptually different compared to other previously known kinds of integrability in noninteracting systems and in Yang-Baxter integrable systems (Sutherland, 2004).”
• Weak ergodicity breaking from quantum many-body scars (2017, background): “Although equations (4) and (5) are formally reminiscent of the Lanczos recurrence, in the latter case the initial vector can be arbitrary and the propagation is instead performed by the full Hamiltonian.”
• Quantum scarred eigenstates in a Rydberg atom chain: Entanglement, breakdown of thermalization, and stability to perturbations (2018, background): “Indeed, in integrable systems [11] and many-body localized phases [12–14] the ETH is strongly violated due to the appearance of extensively many conserved operators Ki , which commute with the system’s Hamiltonian [H,Ki] = 0.”
• Geometric (2019, methodology): “Here we employed an orientation discrimination task involving motion-induced contours (MIC), wherein moving dots generated an illusory contour at the center of a circular viewing area (Fig.”
• Quantum quenches in integrable field theories (2009, background): “One reason behind this choice is that the notion of quantum integrability can be put on a firm ground only using, as criteria, the elasticity of the scattering amplitudes of the excitations of the system [14] and, indeed, this is a distinguished property of integrable field theories [15].”
• Theory of the phase transition in random unitary circuits with measurements (2019, neutral): “It remains open whether or not the phase transition can occur in nontrivial integrable systems such as Bethe ansatz solvable models or strongly disordered systems in many-body localized phases [62, 63, 65].”
• Prethermalization and universal dynamics in near-integrable quantum systems (2016, background): “ors on the energy eigenstates [63]). Other denitions are based on the equivalence of the system to a set of independent harmonic oscillators, on the occurrence of non-diractive scattering processes [65], or on the existence of a Bethe-Ansatz or otherwise known exact solution [66,67]. The latter crit”