Related papers: Quantum statistical mechanical gauge invariance

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Emergent Universality Class in Dissipative Quantum Systems with Dipole Moment Conservation [25.02042066713773]
We investigate the universal dynamics of dissipative quantum systems with dipole moment conservation.<n>Our analysis unveils a novel strongly interacting non-equilibrium fixed point that governs the equal-time phase fluctuations.<n>Our results reveal the intricate interplay between kinetic constraints and dissipation in quantum many-body systems.
arXiv Detail & Related papers (2025-12-19T03:44:26Z)
Freeness Reined in by a Single Qubit [36.94429692322632]
We find that, even in this setting, the correlation functions predicted by free probability theory receive corrections of order $O(1)$.<n>We trace their origin to non-uniformly distributed stationary quantum states, which we characterize analytically and confirm numerically.
arXiv Detail & Related papers (2025-12-15T19:00:09Z)
Relativistic Covariance and Nonlinear Quantum Mechanics: Tomonaga-Schwinger Analysis [0.0]
We use the Tomonaga-Schwinger (TS) formulation of quantum field theory to determine when state-dependent additions to the local Hamiltonian density violate relativistic co-dependence.<n>We derive new operator integrability conditions required for foliation independence, including the Frechet derivative terms that arise from state-variance modifications of quantum mechanics.
arXiv Detail & Related papers (2025-11-19T23:56:32Z)
Chaos in Systems with Quantum Group Symmetry [45.88028371034407]
We show an explicit example of a system with quantum group global symmetry which is chaotic.<n>The spin chain is non-unitary but PT-symmetric and, in addition to chaos, exhibits an interesting transition after which the eigenvalues become complex.
arXiv Detail & Related papers (2025-10-27T12:07:16Z)
Squeezed Coherent States in Supersymmetric Quantum Mechanics with Position-Dependent Mass [0.0]
We construct and analyze a class of squeezed coherent states within the framework of supersymmetric quantum mechanics.<n>The resulting states exhibit non-classical features, such as squeezing, coherence, and modified uncertainty relations.
arXiv Detail & Related papers (2025-08-10T08:13:15Z)
Weak coupling limit for quantum systems with unbounded weakly commuting system operators [50.24983453990065]
This work is devoted to a rigorous analysis of the weak coupling limit (WCL) for the reduced dynamics of an open infinite-dimensional quantum system interacting with electromagnetic field or a reservoir formed by Fermi or Bose particles.<n>We derive in the weak coupling limit the reservoir statistics, which is determined by whose terms in the multi-point correlation functions of the reservoir are non-zero in the WCL.<n>We prove that the resulting reduced system dynamics converges to unitary dynamics with a modified Hamiltonian which can be interpreted as a Lamb shift to the original Hamiltonian.
arXiv Detail & Related papers (2025-05-13T05:32:34Z)
Parity breaking in Thouless quantum walks [0.0]
We show how the interplay of non-commutativity and topology enables geometrically protected quantum coin and shift operators.<n>Surprisingly, the walks break parity generate a dynamic process described by a Weyl-like equation.
arXiv Detail & Related papers (2024-12-03T12:49:37Z)
Emergent Anomalous Hydrodynamics at Infinite Temperature in a Long-Range XXZ Model [14.297989605089663]
We find anomalous hydrodynamics in a spin-1/2 XXZ chain with power-law couplings. We quantify the degree of quantum chaos using the Kullback-Leibler divergence. This work offers another deep understanding of emergent anomalous transport phenomena in a wider range of non-integrable quantum many-body systems.
arXiv Detail & Related papers (2024-03-26T17:50:04Z)
Quantizing the Quantum Uncertainty [0.0]
We discuss the quantization of the quantum uncertainty as an operator acting on wave-functions over field space. We show how this spectrum appears in the value of the coupling of the effective conformal potential driving the evolution of extended Gaussian wave-packets. We conclude with an open question: is it possible to see experimental signatures of the quantization of the quantum uncertainty in non-relativistic physics?
arXiv Detail & Related papers (2023-07-03T14:40:14Z)
Step-by-step derivation of the algebraic structure of quantum mechanics (or from nondisturbing to quantum correlations by connecting incompatible observables) [0.0]
This paper provides a step-by-step derivation of the quantum formalism. It helps us to understand why this formalism is as it is.
arXiv Detail & Related papers (2023-03-08T19:27:24Z)
On tests of the quantum nature of gravitational interactions in presence of non-linear corrections to quantum mechanics [6.138671548064356]
We show that entanglement dynamics can occur in the presence of a weak quantum interaction and non-linear corrections to local quantum mechanics. This highlights the importance of going beyond entanglement detection to conclusively test the quantum character of gravity.
arXiv Detail & Related papers (2023-02-01T10:49:31Z)
Quantum Instability [30.674987397533997]
We show how a time-independent, finite-dimensional quantum system can give rise to a linear instability corresponding to that in the classical system. An unstable quantum system has a richer spectrum and a much longer recurrence time than a stable quantum system.
arXiv Detail & Related papers (2022-08-05T19:53:46Z)
Quantum Fluctuation-Response Inequality and Its Application in Quantum Hypothesis Testing [6.245537312562826]
We find a bound for the mean difference of an observable at two different quantum states. When the spectrum of the observable is bounded, the sub-Gaussian property is used to link the bound with the sub-Gaussian norm of the observable. We show the versatility of our results by their applications in problems like thermodynamic inference and speed limit.
arXiv Detail & Related papers (2022-03-20T09:10:54Z)
Quantum nonreciprocal interactions via dissipative gauge symmetry [18.218574433422535]
One-way nonreciprocal interactions between two quantum systems are typically described by a cascaded quantum master equation. We present a new approach for obtaining nonreciprocal quantum interactions that is completely distinct from cascaded quantum systems.
arXiv Detail & Related papers (2022-03-17T15:34:40Z)
Interference of Quantum Trajectories [0.0]
We prove that general time-local quantum master equations admit an unraveling described by ordinary jump-stochastic differential equations. The influence martingale satisfies a $ 1d $ differential equation enslaved to the ones governing the quantum trajectories. Our result proves the existence of a Markovian quantum trajectory picture in the Hilbert space of the system.
arXiv Detail & Related papers (2021-02-20T14:16:25Z)
Experimental Validation of Fully Quantum Fluctuation Theorems Using Dynamic Bayesian Networks [48.7576911714538]
Fluctuation theorems are fundamental extensions of the second law of thermodynamics for small systems. We experimentally verify detailed and integral fully quantum fluctuation theorems for heat exchange using two quantum-correlated thermal spins-1/2 in a nuclear magnetic resonance setup.
arXiv Detail & Related papers (2020-12-11T12:55:17Z)
A non-relativistic theory of quantum mechanics with local modulus symmetry [8.415967794907697]
We have constructed a non-relativistic theory of quantum mechanics based on local modulus symmetry.<n>A new real and positive function called the quantum metric function is attached to the complex conjugate of the wave function.<n>In an expanding universe, these theoretical features produce new effects that deviate from predictions of conventional quantum mechanics and Newtonian gravity.
arXiv Detail & Related papers (2020-08-18T05:36:11Z)

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