Quantum Mechanics
Eigenstate Condensation Phases in Finite-Dimensional Quantum Systems
Energy-constrained random quantum states in finite-dimensional Hilbert spaces exhibit eigenstate condensation, characterized by three distinct phases. These include a ground-state phase and an anti-ground-state phase, both displaying macroscopic overlap with extreme energy states. A high-temperature…
Tighter Bounds on Quantum Recurrence Time via Dirichlet’s Approximation Theorem
This paper introduces a refined definition of recurrence time for finite quantum systems, considering simultaneous return of all states to their initial configuration with at least one significant deviation. It establishes continuous and discrete time bounds using Dirichlet's approximation theorem a…
New Classification of Static SU(2) Yang-Mills Solutions with Spin Dependence
This work presents a comprehensive classification of static solutions for the source-free SU(2) Yang-Mills equations, incorporating spin operator dependence in the gauge potential. By utilizing the vector potential extraction approach (VPEA) and imposing angular momentum constraints, the authors der…
Cascaded Qubit Systems for Photon Statistics Analysis through Quantum Wave Mixing
This research develops a theoretical framework for quantum wave mixing (QWM) in a cascaded waveguide-QED system with two superconducting qubits. It demonstrates how suppressing the coherent Rayleigh component in the source spectrum allows the probe qubit’s dynamics to be described as being driven by…
Protocol for Constructing Quantum Hilbert-Space-Fragmented Hamiltonians
This paper introduces a systematic protocol for generating quantum Hilbert-space-fragmented Hamiltonians, distinguishing them from classically fragmented models by their Krylov-sector structure being resolvable only in an entangled basis. The method utilizes a Rokhsar-Kivelson-type construction, app…
Topological Robustness Limits Quantum State Representations
Representing quantum system states using outcome probabilities of measurements presents an inherent conflict. To maintain operational meaningfulness, the mapping from a quantum state to its probability representation must exhibit topological robustness. However, this robustness prevents the simultan…
Practical Road-map for Measurement-Altered Criticality in Rydberg Atom Chains
This paper proposes a practical experimental scheme to demonstrate measurement-altered criticality in Rydberg atom chains, specifically at Ising and tricritical Ising phase transitions. The method involves projectively measuring a periodic subset of atoms, which is shown to distinctly alter quantum …