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Certain exotic phenomena in general relativity, such as backward time travel, appear to require the presence of matter with negative energy. While quantum fields are a possible source of negative energy densities, there are lower bounds -…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Christopher J. Fewster , Edward Teo

Besides their stunning physical properties which are unmatched in a classical world, squeezed states of electromagnetic radiation bear advanced application potentials in quantum information systems and precision metrology, including…

A `quantum inequality' (a conjectured relation between the energy density of a free quantum field and the time during which this density is observed) has recently been used to rule out some of the macroscopic wormholes and warp drives. I…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Krasnikov

Cavity optomechanical (COM) sensors, enhanced by quantum squeezing or entanglement, have become powerful tools for measuring ultra-weak forces with high precision and sensitivity. However, these sensors usually rely on linear COM couplings,…

It is well known that the energy density of a quantum state can be negative. It has been shown that there are limits on this negative energy density which are called the quantum inequalities. In this paper we will demonstrate an example of…

Quantum Physics · Physics 2011-08-19 Dan Solomon

Quantum inequalities are bounds on negative time-averages of the energy density of a quantum field. They can be used to rule out exotic spacetimes in general relativity. We study quantum inequalities for a scalar field with a background…

General Relativity and Quantum Cosmology · Physics 2014-07-16 Eleni-Alexandra Kontou , Ken D. Olum

Quantum field theory violates all the classical energy conditions of general relativity. Nonetheless, it turns out that quantum field theories satisfy remnants of the classical energy conditions, known as Quantum Energy Inequalities (QEIs),…

General Relativity and Quantum Cosmology · Physics 2012-08-28 Christopher J. Fewster

Quantum energy inequalities (QEIs) are lower bounds on the averaged energy density of a quantum field. They have been proved for various field theories in general curved spacetimes but the explicit lower bound is not easily calculated in…

High Energy Physics - Theory · Physics 2023-08-09 Christopher J. Fewster , Jacob Thompson

We investigate the experimental prospects for testing a relativistic local quantum measurement inequality that quantifies the trade-off between vacuum insensitivity and responsiveness to excitations for finite-size detectors. Building on…

Quantum Physics · Physics 2026-01-16 Riccardo Falcone , Claudio Conti

With the recent surge of interest in quantum computation, it has become very important to develop clear experimental tests for ``quantum behavior'' in a system. This issue has been addressed in the past in the form of the inequalities due…

Quantum Physics · Physics 2007-05-23 Rusko Ruskov , Alexander N. Korotkov , Ari Mizel

In Quantum Illumination (QI), a signal beam initially entangled with an idler beam held at the receiver interrogates a target region bathed in thermal background light. The returned beam is measured jointly with the idler in order to…

Quantum Physics · Physics 2020-07-14 Ranjith Nair , Mile Gu

In a recent paper [J. Math. Phys. 47 082303 (2006)], Quantum Energy Inequalities were used to place simple geometrical bounds on the energy densities of quantum fields in Minkowskian spacetime regions. Here, we refine this analysis for…

Mathematical Physics · Physics 2008-11-26 Simon P. Eveson , Christopher J. Fewster

We present a quantum energy inequality (QEI) for quantum field theories formulated in non-commutative spacetimes, extending fundamental energy constraints to this generalized geometric framework. By leveraging operator-theoretic methods…

High Energy Physics - Theory · Physics 2026-04-01 Harald Grosse , Albert Much

Quantum coherence represented by a superposition of energy eigenstates is, together with energy, an important resource for quantum technology and thermodynamics. Energy and quantum coherence however, can be complementary. The increase of…

Quantum Physics · Physics 2022-11-17 Mariia Gumberidze , Michal Kolář , Radim Filip

We report the experimental realization of squeezed quantum states of light, tailored for new applications in quantum communication and metrology. Squeezed states in a broad Fourier frequency band down to 1 Hz has been observed for the first…

Quantum Physics · Physics 2007-12-04 Henning Vahlbruch , Simon Chelkowski , Karsten Danzmann , Roman Schnabel

A Quantum Energy Inequality (QEI) is derived for the massive Ising model, giving a state-independent lower bound on suitable averages of the energy density; the first QEI to be established for an interacting quantum field theory with…

Mathematical Physics · Physics 2015-08-13 Henning Bostelmann , Daniela Cadamuro , Christopher J. Fewster

An analysis of errors in measurement yields new insight into the penetration of quantum particles into classically forbidden regions. In addition to ``physical" values, realistic measurements yield ``unphysical" values which, we show, can…

High Energy Physics - Theory · Physics 2009-10-22 Y. Aharonov , S. Popescu , D. Rohrlich , L. Vaidman

In a recent preprint, Krasnikov has claimed that to show that quantum energy inequalities (QEIs) are violated in curved spacetime situations, by considering the example of a free massless scalar field in two-dimensional de Sitter space. We…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. J. Fewster

We present a cavity-QED theory for generating squeezed light from semiconductor quantum dots (QDs) integrated in microcavities. We formulate equations of motion for an inhomogeneously broadened QD ensemble that is incoherently pumped and…

Quantum Physics · Physics 2025-08-22 Sahil Patel , Sean Doan , Chen Shang , Frederic Grillot , Frank Jahnke , John Bowers , Galan Moody , Weng Chow

Quantum Energy Inequalities (QEIs) are results which limit the extent to which the smeared renormalised energy density of the quantum field can be negative, when averaged along a timelike curve or over a more general timelike submanifold in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christopher J. Fewster , Calvin J. Smith