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Non-Hermitian Hamiltonian Deformations in Quantum Mechanics
Apollonas S. Matsoukas-Roubeas, Federico Roccati, Julien Cornelius +3
The construction of exactly-solvable models has recently been advanced by considering integrable deformations and related Hamiltonian deformations in quantum mechanics.…
Time-Optimal Quantum Driving by Variational Circuit Learning
Tangyou Huang, Yongcheng Ding, Léonce Dupays +4
The simulation of quantum dynamics on a digital quantum computer with parameterized circuits has widespread applications in fundamental and applied physics and chemistry. In this c…
Exact Quantum Dynamics, Shortcuts to Adiabaticity, and Quantum Quenches in Strongly-Correlated Many-Body Systems: The Time-Dependent Jastrow Ansatz
Jing Yang, Adolfo del Campo
The description of strongly correlated quantum many-body systems far from equilibrium presents a fundamental challenge due to the vast amount of information it requires. We introdu…
Quantum Alchemy and Universal Orthogonality Catastrophe in One-Dimensional Anyons
Naim E. Mackel, Jing Yang, Adolfo del Campo
Many-particle quantum systems with intermediate anyonic exchange statistics are supported in one spatial dimension. In this context, the anyon-anyon mapping is recast as a continuo…
Quantum speed limits on operator flows and correlation functions
Nicoletta Carabba, Niklas Hörnedal, Adolfo del Campo
Quantum speed limits (QSLs) identify fundamental time scales of physical processes by providing lower bounds on the rate of change of a quantum state or the expectation value of an…
Role of boundary conditions in the full counting statistics of topological defects after crossing a continuous phase transition
Fernando J. Gómez-Ruiz, David Subires, Adolfo del Campo
In a scenario of spontaneous symmetry breaking in finite time, topological defects are generated at a density that scale with the driving time according to the Kibble-Zurek mechani…
Tailoring Dynamical Fermionization: Delta kick cooling of a Tonks-Girardeau gas
Léonce Dupays, Jing Yang, Adolfo del Campo
In one spatial dimension, quantum exchange statistics and interactions are inextricably intertwined. As a manifestation, the expansion dynamics of a Tonks-Girardeau gas is characte…
Universal breakdown of Kibble-Zurek scaling in fast quenches across a phase transition
Hua-Bi Zeng, Chuan-Yin Xia, Adolfo del Campo
The crossing of a continuous phase transition gives rise to the formation of topological defects described by the Kibble-Zurek mechanism (KZM) in the limit of slow quenches. The KZ…
Kibble-Zurek Mechanism for Nonequilibrium Phase Transitions in Driven Systems with Quenched Disorder
C. J. O. Reichhardt, A. del Campo, C. Reichhardt
We numerically study the density of topological defects for a two-dimensional assembly of particles driven over quenched disorder as a function of quench rate through the nonequili…
Locality of Spontaneous Symmetry Breaking and Universal Spacing Distribution of Topological Defects Formed Across a Phase Transition
Adolfo del Campo, Fernando Javier Gómez-Ruiz, Hai-Qing Zhang
The crossing of a continuous phase transition results in the formation of topological defects with a density predicted by the Kibble-Zurek mechanism (KZM). We characterize the spat…
Ultimate Speed Limits to the Growth of Operator Complexity
Niklas Hörnedal, Nicoletta Carabba, Apollonas S. Matsoukas-Roubeas +1
In an isolated system, the time evolution of a given observable in the Heisenberg picture can be efficiently represented in Krylov space. In this representation, an initial operato…
One-Dimensional Quantum Systems with Ground-State of Jastrow Form Are Integrable
Jing Yang, Adolfo del Campo
The exchange operator formalism (EOF) describes many-body integrable systems using phase-space variables involving an exchange operator that acts on any pair of particles. We estab…