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We expand the time reversal symmetry arguments of quantum mechanics, originally proposed by Wigner in the context of unitary dynamics, to contain situations including generalized measurements for monitored quantum systems. We propose a…

Quantum Physics · Physics 2020-09-04 Sreenath K. Manikandan , Andrew N. Jordan

We study a class of anomalies associated with time-reversal and spatial reflection symmetry in (2+1)D topological phases of matter. In these systems, the topological quantum numbers of the quasiparticles, such as the fusion rules and…

Strongly Correlated Electrons · Physics 2018-09-26 Maissam Barkeshli , Meng Cheng

We prove an instance of the Reciprocity Theorem that demonstrates that Kerr rotation, also known as the magneto-optical Kerr effect, may only arise in materials that break microscopic time reversal symmetry. This argument applies in the…

Optics · Physics 2014-10-08 Alexander D. Fried

It is well known that unitary symmetries can be `gauged', i.e. defined to act in a local way, which leads to a corresponding gauge field. Gauging, for example, the charge conservation symmetry leads to electromagnetic gauge fields. It is an…

Strongly Correlated Electrons · Physics 2015-12-09 Xie Chen , Ashvin Vishwanath

We first consider the Lagrangian formulation of general relativity for perturbations with respect to a background spacetime. We show that by combining Noether's method with Belinfante's "symmetrization'' procedure we obtain conserved…

General Relativity and Quantum Cosmology · Physics 2015-06-25 A. N. Petrov , J. Katz

It has often been suggested that retrocausality offers a solution to some of the puzzles of quantum mechanics: e.g., that it allows a Lorentz-invariant explanation of Bell correlations, and other manifestations of quantum nonlocality,…

Quantum Physics · Physics 2012-06-19 Huw Price

The classical evolution of the universe can be seen as a parametrised worldline of the minisuperspace, with the time variable $t$ the parameter that parametrises the worldline. The time reversal symmetry of the field equations implies that…

General Relativity and Quantum Cosmology · Physics 2019-10-17 Salvador J. Robles-Perez

Single-spin asymmetries were long thought to vanish in high-energy scattering processes because of their specific time-reversal behavior. Time-reversal-odd phenomena, however, appear naturally when one includes effects of intrinsic…

High Energy Physics - Phenomenology · Physics 2009-02-19 P. J. Mulders

Quantum effects arising from manifestly broken time-reversal symmetry are investigated using time-dependent perturbation theory in a simple model. The forward time and the backward time Hamiltonians are taken to be different and hence the…

Quantum Physics · Physics 2023-07-10 Rajat Kumar Pradhan

We consider f(R,T) modified theory of gravity in which, in general, the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar and the trace of the energy-momentum tensor. We indicate that in this type of the theory,…

General Relativity and Quantum Cosmology · Physics 2016-10-05 Raziyeh Zaregonbadi , Mehrdad Farhoudi

The boundary of a fractionalized topological phase can be gapped by condensing a proper set of bosonic quasiparticles. Interestingly, in the presence of a global symmetry, such a boundary can have different symmetry transformation…

Strongly Correlated Electrons · Physics 2016-07-01 Fiona Burnell , Xie Chen , Alexei Kitaev , Max Metlitski , Ashvin Vishwanath

We study two coupled active rotators with Kuramoto-type coupling and focus our attention to specific transitional regimes where the coupling is neither attractive nor repulsive. We show that certain such situations at the edge of…

Dynamical Systems · Mathematics 2023-06-07 Oleksandr Burylko , Matthias Wolfrum , Serhiy Yanchuk , Jürgen Kurths

The bound state energy eigenvalues for the two-dimensional Kepler problem are found to be degenerate. This "accidental" degeneracy is due to the existence of a two-dimensional analogue of the quantum-mechanical Runge-Lenz vector.…

Mathematical Physics · Physics 2009-11-07 D. G. W. Parfitt , M. E. Portnoi

In an Anderson localized system, a quantum particle with a nonzero initial velocity returns, on average, to its origin. This recently discovered behavior is known as the quantum boomerang effect. Time reversal invariance was initially…

Disordered Systems and Neural Networks · Physics 2022-06-07 Jakub Janarek , Benoît Grémaud , Jakub Zakrzewski , Dominique Delande

The action for a massless particle in 4D Minkowski space has a worldline time-reversing symmetry corresponding to CPT invariance of the quantum theory. The analogous symmetry of the N-extended superparticle is shown to be anomalous when N…

High Energy Physics - Theory · Physics 2016-10-12 Alex S. Arvanitakis , Luca Mezincescu , Paul K. Townsend

Time reversal symmetry is a fundamental property of many quantum mechanical systems. The relation between statistical physics and time reversal is subtle and not all statistical theories conserve this particular symmetry, most notably…

Strongly Correlated Electrons · Physics 2017-08-02 Miriam Scharnke , Niclas Schlünzen , Michael Bonitz

The algebra of observables associated with a quantum field theory is invariant under the connected component of the Lorentz group and under parity reversal, but it is not invariant under time reversal. If we take general covariance…

Quantum Physics · Physics 2008-10-28 Peter Morgan

It is one of the most important and long-standing issues of physics to derive the irreversibility out of a time-reversal symmetric equation of motion. The present paper considers the breaking of the time-reversal symmetry in open quantum…

Quantum Physics · Physics 2019-04-10 Naomichi Hatano , Gonzalo Ordonez

We present a mathematical proof of the algorithm allowing to generate all - symmetric and non-symmetric - total angular momentum eigenstates in remote matter qubits by projective measurements, proposed in Maser et al. [Phys. Rev. A 79,…

Quantum Physics · Physics 2015-01-15 C. Ammon , A. Maser , U. Schilling , T. Bastin , J. von Zanthier

We show that the Bessel equation can be cast, by means of suitable transformations, into a system of two damped/amplified parametric oscillator equations. The relation with the group contraction mechanism is analyzed and the breakdown of…

High Energy Physics - Theory · Physics 2007-05-23 Eleonora Alfinito , Giuseppe Vitiello