Do you have to use a Beta-barium borate crystal in order to entangle photons?

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A Beta-barium borate (BBO) crystal is commonly used for photon entanglement due to its strong birefringence and suitability for nonlinear optics. While BBO is popular, other birefringent crystals like potassium titanyl phosphate (KTP), potassium dihydrogen phosphate (KDP), and lithium niobate can also be effective alternatives. The choice of crystal depends on factors such as transparency for specific wavelengths and high damage thresholds. Sodium chloride crystals are not typically suitable for this application. Understanding the properties of various crystals is essential for successful photon entanglement.
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im just curious and i just want to know, do you need a Beta-barium borate crystal to entangle photons? are there any alternatives? can you use sodium chloride crystals as a possible option? what makes a Beta-barium borate so special and different from any other crystals? please provide good info and please no negative comments. thank you.
 
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I am not an expert in quantum optics but I believe any birefringent crystal will do.
 
Yes, in principle any material showing strong birefringence and having a certain symmetry making them attractive for nonlinear optics could be used. However in practice you of course also want them to be transparent for the wavelengths of interest and the damage threshold should be rather high, too. The most common non-linear crystals besides BBO are potassium titanyl phosphate (KTP), (potassium dihydrogen phosphate (KDP) and lithium niobate.
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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